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Simplifying -10x + 8(x + 2) = -10(x + 8) Reorder the terms: -10x + 8(2 + x) = -10(x + 8) -10x + (2 * 8 + x * 8) = -10(x + 8) -10x + (16 + 8x) = -10(x + 8) Reorder the terms: 16 + -10x + 8x = -10(x + 8) Combine like terms: -10x + 8x = -2x 16 + -2x = -10(x + 8) Reorder the terms: 16 + -2x = -10(8 + x) 16 + -2x = (8 * -10 + x * -10) 16 + -2x = (-80 + -10x) Solving 16 + -2x = -80 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 16 + -2x + 10x = -80 + -10x + 10x Combine like terms: -2x + 10x = 8x 16 + 8x = -80 + -10x + 10x Combine like terms: -10x + 10x = 0 16 + 8x = -80 + 0 16 + 8x = -80 Add '-16' to each side of the equation. 16 + -16 + 8x = -80 + -16 Combine like terms: 16 + -16 = 0 0 + 8x = -80 + -16 8x = -80 + -16 Combine like terms: -80 + -16 = -96 8x = -96 Divide each side by '8'. x = -12 Simplifying x = -12
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