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Simplifying 3(x + 4) = 7(x + -8) Reorder the terms: 3(4 + x) = 7(x + -8) (4 * 3 + x * 3) = 7(x + -8) (12 + 3x) = 7(x + -8) Reorder the terms: 12 + 3x = 7(-8 + x) 12 + 3x = (-8 * 7 + x * 7) 12 + 3x = (-56 + 7x) Solving 12 + 3x = -56 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 3x + -7x = -56 + 7x + -7x Combine like terms: 3x + -7x = -4x 12 + -4x = -56 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -4x = -56 + 0 12 + -4x = -56 Add '-12' to each side of the equation. 12 + -12 + -4x = -56 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -56 + -12 -4x = -56 + -12 Combine like terms: -56 + -12 = -68 -4x = -68 Divide each side by '-4'. x = 17 Simplifying x = 17
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