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Simplifying 7(x + -8) + 29 = 3(x + -5) Reorder the terms: 7(-8 + x) + 29 = 3(x + -5) (-8 * 7 + x * 7) + 29 = 3(x + -5) (-56 + 7x) + 29 = 3(x + -5) Reorder the terms: -56 + 29 + 7x = 3(x + -5) Combine like terms: -56 + 29 = -27 -27 + 7x = 3(x + -5) Reorder the terms: -27 + 7x = 3(-5 + x) -27 + 7x = (-5 * 3 + x * 3) -27 + 7x = (-15 + 3x) Solving -27 + 7x = -15 + 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. -27 + 7x + -3x = -15 + 3x + -3x Combine like terms: 7x + -3x = 4x -27 + 4x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 4x = -15 + 0 -27 + 4x = -15 Add '27' to each side of the equation. -27 + 27 + 4x = -15 + 27 Combine like terms: -27 + 27 = 0 0 + 4x = -15 + 27 4x = -15 + 27 Combine like terms: -15 + 27 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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