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Simplifying 0.5(-4x + 3) = 5(x + -4) Reorder the terms: 0.5(3 + -4x) = 5(x + -4) (3 * 0.5 + -4x * 0.5) = 5(x + -4) (1.5 + -2x) = 5(x + -4) Reorder the terms: 1.5 + -2x = 5(-4 + x) 1.5 + -2x = (-4 * 5 + x * 5) 1.5 + -2x = (-20 + 5x) Solving 1.5 + -2x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1.5 + -2x + -5x = -20 + 5x + -5x Combine like terms: -2x + -5x = -7x 1.5 + -7x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 1.5 + -7x = -20 + 0 1.5 + -7x = -20 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -7x = -20 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -7x = -20 + -1.5 -7x = -20 + -1.5 Combine like terms: -20 + -1.5 = -21.5 -7x = -21.5 Divide each side by '-7'. x = 3.071428571 Simplifying x = 3.071428571
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