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Simplifying 3(x + 5) + 5(2x + -1) + -7(3x + -8) = 14(2x + -6) + -6(3x + 5) Reorder the terms: 3(5 + x) + 5(2x + -1) + -7(3x + -8) = 14(2x + -6) + -6(3x + 5) (5 * 3 + x * 3) + 5(2x + -1) + -7(3x + -8) = 14(2x + -6) + -6(3x + 5) (15 + 3x) + 5(2x + -1) + -7(3x + -8) = 14(2x + -6) + -6(3x + 5) Reorder the terms: 15 + 3x + 5(-1 + 2x) + -7(3x + -8) = 14(2x + -6) + -6(3x + 5) 15 + 3x + (-1 * 5 + 2x * 5) + -7(3x + -8) = 14(2x + -6) + -6(3x + 5) 15 + 3x + (-5 + 10x) + -7(3x + -8) = 14(2x + -6) + -6(3x + 5) Reorder the terms: 15 + 3x + -5 + 10x + -7(-8 + 3x) = 14(2x + -6) + -6(3x + 5) 15 + 3x + -5 + 10x + (-8 * -7 + 3x * -7) = 14(2x + -6) + -6(3x + 5) 15 + 3x + -5 + 10x + (56 + -21x) = 14(2x + -6) + -6(3x + 5) Reorder the terms: 15 + -5 + 56 + 3x + 10x + -21x = 14(2x + -6) + -6(3x + 5) Combine like terms: 15 + -5 = 10 10 + 56 + 3x + 10x + -21x = 14(2x + -6) + -6(3x + 5) Combine like terms: 10 + 56 = 66 66 + 3x + 10x + -21x = 14(2x + -6) + -6(3x + 5) Combine like terms: 3x + 10x = 13x 66 + 13x + -21x = 14(2x + -6) + -6(3x + 5) Combine like terms: 13x + -21x = -8x 66 + -8x = 14(2x + -6) + -6(3x + 5) Reorder the terms: 66 + -8x = 14(-6 + 2x) + -6(3x + 5) 66 + -8x = (-6 * 14 + 2x * 14) + -6(3x + 5) 66 + -8x = (-84 + 28x) + -6(3x + 5) Reorder the terms: 66 + -8x = -84 + 28x + -6(5 + 3x) 66 + -8x = -84 + 28x + (5 * -6 + 3x * -6) 66 + -8x = -84 + 28x + (-30 + -18x) Reorder the terms: 66 + -8x = -84 + -30 + 28x + -18x Combine like terms: -84 + -30 = -114 66 + -8x = -114 + 28x + -18x Combine like terms: 28x + -18x = 10x 66 + -8x = -114 + 10x Solving 66 + -8x = -114 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 66 + -8x + -10x = -114 + 10x + -10x Combine like terms: -8x + -10x = -18x 66 + -18x = -114 + 10x + -10x Combine like terms: 10x + -10x = 0 66 + -18x = -114 + 0 66 + -18x = -114 Add '-66' to each side of the equation. 66 + -66 + -18x = -114 + -66 Combine like terms: 66 + -66 = 0 0 + -18x = -114 + -66 -18x = -114 + -66 Combine like terms: -114 + -66 = -180 -18x = -180 Divide each side by '-18'. x = 10 Simplifying x = 10
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