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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 Reorder the terms for easier multiplication: 0.5 * 0.88(-0.25 + x) = 0.8(0.5x + -5) + 0.33 Multiply 0.5 * 0.88 0.44(-0.25 + x) = 0.8(0.5x + -5) + 0.33 (-0.25 * 0.44 + x * 0.44) = 0.8(0.5x + -5) + 0.33 (-0.11 + 0.44x) = 0.8(0.5x + -5) + 0.33 Reorder the terms: -0.11 + 0.44x = 0.8(-5 + 0.5x) + 0.33 -0.11 + 0.44x = (-5 * 0.8 + 0.5x * 0.8) + 0.33 -0.11 + 0.44x = (-4 + 0.4x) + 0.33 Reorder the terms: -0.11 + 0.44x = -4 + 0.33 + 0.4x Combine like terms: -4 + 0.33 = -3.67 -0.11 + 0.44x = -3.67 + 0.4x Solving -0.11 + 0.44x = -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. -0.11 + 0.44x + -0.4x = -3.67 + 0.4x + -0.4x Combine like terms: 0.44x + -0.4x = 0.04x -0.11 + 0.04x = -3.67 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -0.11 + 0.04x = -3.67 + 0.0 -0.11 + 0.04x = -3.67 Add '0.11' to each side of the equation. -0.11 + 0.11 + 0.04x = -3.67 + 0.11 Combine like terms: -0.11 + 0.11 = 0.00 0.00 + 0.04x = -3.67 + 0.11 0.04x = -3.67 + 0.11 Combine like terms: -3.67 + 0.11 = -3.56 0.04x = -3.56 Divide each side by '0.04'. x = -89 Simplifying x = -89
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