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Simplifying 0.25(8x + -16) = 0.20(20x + -10) Reorder the terms: 0.25(-16 + 8x) = 0.20(20x + -10) (-16 * 0.25 + 8x * 0.25) = 0.20(20x + -10) (-4 + 2x) = 0.20(20x + -10) Reorder the terms: -4 + 2x = 0.20(-10 + 20x) -4 + 2x = (-10 * 0.20 + 20x * 0.20) -4 + 2x = (-2 + 4x) Solving -4 + 2x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 2x + -4x = -2 + 4x + -4x Combine like terms: 2x + -4x = -2x -4 + -2x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -2x = -2 + 0 -4 + -2x = -2 Add '4' to each side of the equation. -4 + 4 + -2x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -2 + 4 -2x = -2 + 4 Combine like terms: -2 + 4 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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