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Simplifying 5(x + -3) + -7(6 + -1x) + 29 = 50 + -3(8 + -1x) Reorder the terms: 5(-3 + x) + -7(6 + -1x) + 29 = 50 + -3(8 + -1x) (-3 * 5 + x * 5) + -7(6 + -1x) + 29 = 50 + -3(8 + -1x) (-15 + 5x) + -7(6 + -1x) + 29 = 50 + -3(8 + -1x) -15 + 5x + (6 * -7 + -1x * -7) + 29 = 50 + -3(8 + -1x) -15 + 5x + (-42 + 7x) + 29 = 50 + -3(8 + -1x) Reorder the terms: -15 + -42 + 29 + 5x + 7x = 50 + -3(8 + -1x) Combine like terms: -15 + -42 = -57 -57 + 29 + 5x + 7x = 50 + -3(8 + -1x) Combine like terms: -57 + 29 = -28 -28 + 5x + 7x = 50 + -3(8 + -1x) Combine like terms: 5x + 7x = 12x -28 + 12x = 50 + -3(8 + -1x) -28 + 12x = 50 + (8 * -3 + -1x * -3) -28 + 12x = 50 + (-24 + 3x) Combine like terms: 50 + -24 = 26 -28 + 12x = 26 + 3x Solving -28 + 12x = 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 + 12x + -3x = 26 + 3x + -3x Combine like terms: 12x + -3x = 9x -28 + 9x = 26 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 9x = 26 + 0 -28 + 9x = 26 Add '28' to each side of the equation. -28 + 28 + 9x = 26 + 28 Combine like terms: -28 + 28 = 0 0 + 9x = 26 + 28 9x = 26 + 28 Combine like terms: 26 + 28 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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