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Simplifying 12 + -2(x + 2) = 8(x + 5) + -16 Reorder the terms: 12 + -2(2 + x) = 8(x + 5) + -16 12 + (2 * -2 + x * -2) = 8(x + 5) + -16 12 + (-4 + -2x) = 8(x + 5) + -16 Combine like terms: 12 + -4 = 8 8 + -2x = 8(x + 5) + -16 Reorder the terms: 8 + -2x = 8(5 + x) + -16 8 + -2x = (5 * 8 + x * 8) + -16 8 + -2x = (40 + 8x) + -16 Reorder the terms: 8 + -2x = 40 + -16 + 8x Combine like terms: 40 + -16 = 24 8 + -2x = 24 + 8x Solving 8 + -2x = 24 + 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. 8 + -2x + -8x = 24 + 8x + -8x Combine like terms: -2x + -8x = -10x 8 + -10x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -10x = 24 + 0 8 + -10x = 24 Add '-8' to each side of the equation. 8 + -8 + -10x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 24 + -8 -10x = 24 + -8 Combine like terms: 24 + -8 = 16 -10x = 16 Divide each side by '-10'. x = -1.6 Simplifying x = -1.6
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