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Simplifying -8(0.5x + -2) = 10 + -1x Reorder the terms: -8(-2 + 0.5x) = 10 + -1x (-2 * -8 + 0.5x * -8) = 10 + -1x (16 + -4x) = 10 + -1x Solving 16 + -4x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 16 + -4x + x = 10 + -1x + x Combine like terms: -4x + x = -3x 16 + -3x = 10 + -1x + x Combine like terms: -1x + x = 0 16 + -3x = 10 + 0 16 + -3x = 10 Add '-16' to each side of the equation. 16 + -16 + -3x = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = 10 + -16 -3x = 10 + -16 Combine like terms: 10 + -16 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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