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Simplifying 0.5(x + -0.25) + 0.88 = 0.8(0.5x + -5) + 0.33 Reorder the terms: 0.5(-0.25 + x) + 0.88 = 0.8(0.5x + -5) + 0.33 (-0.25 * 0.5 + x * 0.5) + 0.88 = 0.8(0.5x + -5) + 0.33 (-0.125 + 0.5x) + 0.88 = 0.8(0.5x + -5) + 0.33 Reorder the terms: -0.125 + 0.88 + 0.5x = 0.8(0.5x + -5) + 0.33 Combine like terms: -0.125 + 0.88 = 0.755 0.755 + 0.5x = 0.8(0.5x + -5) + 0.33 Reorder the terms: 0.755 + 0.5x = 0.8(-5 + 0.5x) + 0.33 0.755 + 0.5x = (-5 * 0.8 + 0.5x * 0.8) + 0.33 0.755 + 0.5x = (-4 + 0.4x) + 0.33 Reorder the terms: 0.755 + 0.5x = -4 + 0.33 + 0.4x Combine like terms: -4 + 0.33 = -3.67 0.755 + 0.5x = -3.67 + 0.4x Solving 0.755 + 0.5x = -3.67 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 0.755 + 0.5x + -0.4x = -3.67 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x 0.755 + 0.1x = -3.67 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 0.755 + 0.1x = -3.67 + 0.0 0.755 + 0.1x = -3.67 Add '-0.755' to each side of the equation. 0.755 + -0.755 + 0.1x = -3.67 + -0.755 Combine like terms: 0.755 + -0.755 = 0.000 0.000 + 0.1x = -3.67 + -0.755 0.1x = -3.67 + -0.755 Combine like terms: -3.67 + -0.755 = -4.425 0.1x = -4.425 Divide each side by '0.1'. x = -44.25 Simplifying x = -44.25
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