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Simplifying 3(2x + 5) = 7(x + 3) + -2(4 + -3x) Reorder the terms: 3(5 + 2x) = 7(x + 3) + -2(4 + -3x) (5 * 3 + 2x * 3) = 7(x + 3) + -2(4 + -3x) (15 + 6x) = 7(x + 3) + -2(4 + -3x) Reorder the terms: 15 + 6x = 7(3 + x) + -2(4 + -3x) 15 + 6x = (3 * 7 + x * 7) + -2(4 + -3x) 15 + 6x = (21 + 7x) + -2(4 + -3x) 15 + 6x = 21 + 7x + (4 * -2 + -3x * -2) 15 + 6x = 21 + 7x + (-8 + 6x) Reorder the terms: 15 + 6x = 21 + -8 + 7x + 6x Combine like terms: 21 + -8 = 13 15 + 6x = 13 + 7x + 6x Combine like terms: 7x + 6x = 13x 15 + 6x = 13 + 13x Solving 15 + 6x = 13 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 15 + 6x + -13x = 13 + 13x + -13x Combine like terms: 6x + -13x = -7x 15 + -7x = 13 + 13x + -13x Combine like terms: 13x + -13x = 0 15 + -7x = 13 + 0 15 + -7x = 13 Add '-15' to each side of the equation. 15 + -15 + -7x = 13 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 13 + -15 -7x = 13 + -15 Combine like terms: 13 + -15 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857
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