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Simplifying 0.25(8x + -4) + 13 = 0.5(2x + -10) Reorder the terms: 0.25(-4 + 8x) + 13 = 0.5(2x + -10) (-4 * 0.25 + 8x * 0.25) + 13 = 0.5(2x + -10) (-1 + 2x) + 13 = 0.5(2x + -10) Reorder the terms: -1 + 13 + 2x = 0.5(2x + -10) Combine like terms: -1 + 13 = 12 12 + 2x = 0.5(2x + -10) Reorder the terms: 12 + 2x = 0.5(-10 + 2x) 12 + 2x = (-10 * 0.5 + 2x * 0.5) 12 + 2x = (-5 + 1x) Solving 12 + 2x = -5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 2x + -1x = -5 + 1x + -1x Combine like terms: 2x + -1x = 1x 12 + 1x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + 1x = -5 + 0 12 + 1x = -5 Add '-12' to each side of the equation. 12 + -12 + 1x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -5 + -12 1x = -5 + -12 Combine like terms: -5 + -12 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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