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Simplifying 0.5(2x + 12) = 0.25(8x + -16) Reorder the terms: 0.5(12 + 2x) = 0.25(8x + -16) (12 * 0.5 + 2x * 0.5) = 0.25(8x + -16) (6 + 1x) = 0.25(8x + -16) Reorder the terms: 6 + 1x = 0.25(-16 + 8x) 6 + 1x = (-16 * 0.25 + 8x * 0.25) 6 + 1x = (-4 + 2x) Solving 6 + 1x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 1x + -2x = -4 + 2x + -2x Combine like terms: 1x + -2x = -1x 6 + -1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -1x = -4 + 0 6 + -1x = -4 Add '-6' to each side of the equation. 6 + -6 + -1x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -4 + -6 -1x = -4 + -6 Combine like terms: -4 + -6 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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