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Simplifying 7(8 + 2x) = -3(-5x + 8) (8 * 7 + 2x * 7) = -3(-5x + 8) (56 + 14x) = -3(-5x + 8) Reorder the terms: 56 + 14x = -3(8 + -5x) 56 + 14x = (8 * -3 + -5x * -3) 56 + 14x = (-24 + 15x) Solving 56 + 14x = -24 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 56 + 14x + -15x = -24 + 15x + -15x Combine like terms: 14x + -15x = -1x 56 + -1x = -24 + 15x + -15x Combine like terms: 15x + -15x = 0 56 + -1x = -24 + 0 56 + -1x = -24 Add '-56' to each side of the equation. 56 + -56 + -1x = -24 + -56 Combine like terms: 56 + -56 = 0 0 + -1x = -24 + -56 -1x = -24 + -56 Combine like terms: -24 + -56 = -80 -1x = -80 Divide each side by '-1'. x = 80 Simplifying x = 80
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