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Simplifying 8(x + -2) + 18(1 + -1x) = -8 Reorder the terms: 8(-2 + x) + 18(1 + -1x) = -8 (-2 * 8 + x * 8) + 18(1 + -1x) = -8 (-16 + 8x) + 18(1 + -1x) = -8 -16 + 8x + (1 * 18 + -1x * 18) = -8 -16 + 8x + (18 + -18x) = -8 Reorder the terms: -16 + 18 + 8x + -18x = -8 Combine like terms: -16 + 18 = 2 2 + 8x + -18x = -8 Combine like terms: 8x + -18x = -10x 2 + -10x = -8 Solving 2 + -10x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -10x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = -8 + -2 -10x = -8 + -2 Combine like terms: -8 + -2 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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