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Simplifying 8(7 + 2x) = -8(x + -4) (7 * 8 + 2x * 8) = -8(x + -4) (56 + 16x) = -8(x + -4) Reorder the terms: 56 + 16x = -8(-4 + x) 56 + 16x = (-4 * -8 + x * -8) 56 + 16x = (32 + -8x) Solving 56 + 16x = 32 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 56 + 16x + 8x = 32 + -8x + 8x Combine like terms: 16x + 8x = 24x 56 + 24x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 56 + 24x = 32 + 0 56 + 24x = 32 Add '-56' to each side of the equation. 56 + -56 + 24x = 32 + -56 Combine like terms: 56 + -56 = 0 0 + 24x = 32 + -56 24x = 32 + -56 Combine like terms: 32 + -56 = -24 24x = -24 Divide each side by '24'. x = -1 Simplifying x = -1
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