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Simplifying -8(-3x + -2) = 7(4x + -8) Reorder the terms: -8(-2 + -3x) = 7(4x + -8) (-2 * -8 + -3x * -8) = 7(4x + -8) (16 + 24x) = 7(4x + -8) Reorder the terms: 16 + 24x = 7(-8 + 4x) 16 + 24x = (-8 * 7 + 4x * 7) 16 + 24x = (-56 + 28x) Solving 16 + 24x = -56 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 16 + 24x + -28x = -56 + 28x + -28x Combine like terms: 24x + -28x = -4x 16 + -4x = -56 + 28x + -28x Combine like terms: 28x + -28x = 0 16 + -4x = -56 + 0 16 + -4x = -56 Add '-16' to each side of the equation. 16 + -16 + -4x = -56 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = -56 + -16 -4x = -56 + -16 Combine like terms: -56 + -16 = -72 -4x = -72 Divide each side by '-4'. x = 18 Simplifying x = 18
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