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Simplifying 4(2x + 5) + 3x + -2(x + -7) = 3(2x + 7) + -8 Reorder the terms: 4(5 + 2x) + 3x + -2(x + -7) = 3(2x + 7) + -8 (5 * 4 + 2x * 4) + 3x + -2(x + -7) = 3(2x + 7) + -8 (20 + 8x) + 3x + -2(x + -7) = 3(2x + 7) + -8 Reorder the terms: 20 + 8x + 3x + -2(-7 + x) = 3(2x + 7) + -8 20 + 8x + 3x + (-7 * -2 + x * -2) = 3(2x + 7) + -8 20 + 8x + 3x + (14 + -2x) = 3(2x + 7) + -8 Reorder the terms: 20 + 14 + 8x + 3x + -2x = 3(2x + 7) + -8 Combine like terms: 20 + 14 = 34 34 + 8x + 3x + -2x = 3(2x + 7) + -8 Combine like terms: 8x + 3x = 11x 34 + 11x + -2x = 3(2x + 7) + -8 Combine like terms: 11x + -2x = 9x 34 + 9x = 3(2x + 7) + -8 Reorder the terms: 34 + 9x = 3(7 + 2x) + -8 34 + 9x = (7 * 3 + 2x * 3) + -8 34 + 9x = (21 + 6x) + -8 Reorder the terms: 34 + 9x = 21 + -8 + 6x Combine like terms: 21 + -8 = 13 34 + 9x = 13 + 6x Solving 34 + 9x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 34 + 9x + -6x = 13 + 6x + -6x Combine like terms: 9x + -6x = 3x 34 + 3x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 34 + 3x = 13 + 0 34 + 3x = 13 Add '-34' to each side of the equation. 34 + -34 + 3x = 13 + -34 Combine like terms: 34 + -34 = 0 0 + 3x = 13 + -34 3x = 13 + -34 Combine like terms: 13 + -34 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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