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Simplifying 0.5(x + -6) + 2 = 0.25(8x + -16) Reorder the terms: 0.5(-6 + x) + 2 = 0.25(8x + -16) (-6 * 0.5 + x * 0.5) + 2 = 0.25(8x + -16) (-3 + 0.5x) + 2 = 0.25(8x + -16) Reorder the terms: -3 + 2 + 0.5x = 0.25(8x + -16) Combine like terms: -3 + 2 = -1 -1 + 0.5x = 0.25(8x + -16) Reorder the terms: -1 + 0.5x = 0.25(-16 + 8x) -1 + 0.5x = (-16 * 0.25 + 8x * 0.25) -1 + 0.5x = (-4 + 2x) Solving -1 + 0.5x = -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. -1 + 0.5x + -2x = -4 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x -1 + -1.5x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -1.5x = -4 + 0 -1 + -1.5x = -4 Add '1' to each side of the equation. -1 + 1 + -1.5x = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -1.5x = -4 + 1 -1.5x = -4 + 1 Combine like terms: -4 + 1 = -3 -1.5x = -3 Divide each side by '-1.5'. x = 2 Simplifying x = 2
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