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Simplifying -4x + 39 = 3(x + -8) Reorder the terms: 39 + -4x = 3(x + -8) Reorder the terms: 39 + -4x = 3(-8 + x) 39 + -4x = (-8 * 3 + x * 3) 39 + -4x = (-24 + 3x) Solving 39 + -4x = -24 + 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. 39 + -4x + -3x = -24 + 3x + -3x Combine like terms: -4x + -3x = -7x 39 + -7x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 39 + -7x = -24 + 0 39 + -7x = -24 Add '-39' to each side of the equation. 39 + -39 + -7x = -24 + -39 Combine like terms: 39 + -39 = 0 0 + -7x = -24 + -39 -7x = -24 + -39 Combine like terms: -24 + -39 = -63 -7x = -63 Divide each side by '-7'. x = 9 Simplifying x = 9
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