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Simplifying 3 + -2.5(2x + -4) = 0.5(4x + -2) Reorder the terms: 3 + -2.5(-4 + 2x) = 0.5(4x + -2) 3 + (-4 * -2.5 + 2x * -2.5) = 0.5(4x + -2) 3 + (10 + -5x) = 0.5(4x + -2) Combine like terms: 3 + 10 = 13 13 + -5x = 0.5(4x + -2) Reorder the terms: 13 + -5x = 0.5(-2 + 4x) 13 + -5x = (-2 * 0.5 + 4x * 0.5) 13 + -5x = (-1 + 2x) Solving 13 + -5x = -1 + 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. 13 + -5x + -2x = -1 + 2x + -2x Combine like terms: -5x + -2x = -7x 13 + -7x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -7x = -1 + 0 13 + -7x = -1 Add '-13' to each side of the equation. 13 + -13 + -7x = -1 + -13 Combine like terms: 13 + -13 = 0 0 + -7x = -1 + -13 -7x = -1 + -13 Combine like terms: -1 + -13 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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