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Simplifying 5(x + -3) + -7(6 + -8) + 29 = 50 + -3(8 + -1x) Reorder the terms: 5(-3 + x) + -7(6 + -8) + 29 = 50 + -3(8 + -1x) (-3 * 5 + x * 5) + -7(6 + -8) + 29 = 50 + -3(8 + -1x) (-15 + 5x) + -7(6 + -8) + 29 = 50 + -3(8 + -1x) Combine like terms: 6 + -8 = -2 -15 + 5x + -7(-2) + 29 = 50 + -3(8 + -1x) Multiply -7 * -2 -15 + 5x + 14 + 29 = 50 + -3(8 + -1x) Reorder the terms: -15 + 14 + 29 + 5x = 50 + -3(8 + -1x) Combine like terms: -15 + 14 = -1 -1 + 29 + 5x = 50 + -3(8 + -1x) Combine like terms: -1 + 29 = 28 28 + 5x = 50 + -3(8 + -1x) 28 + 5x = 50 + (8 * -3 + -1x * -3) 28 + 5x = 50 + (-24 + 3x) Combine like terms: 50 + -24 = 26 28 + 5x = 26 + 3x Solving 28 + 5x = 26 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 28 + 5x + -3x = 26 + 3x + -3x Combine like terms: 5x + -3x = 2x 28 + 2x = 26 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + 2x = 26 + 0 28 + 2x = 26 Add '-28' to each side of the equation. 28 + -28 + 2x = 26 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = 26 + -28 2x = 26 + -28 Combine like terms: 26 + -28 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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