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Simplifying 4(-2x + 3) = 2.5(4 + -2x) Reorder the terms: 4(3 + -2x) = 2.5(4 + -2x) (3 * 4 + -2x * 4) = 2.5(4 + -2x) (12 + -8x) = 2.5(4 + -2x) 12 + -8x = (4 * 2.5 + -2x * 2.5) 12 + -8x = (10 + -5x) Solving 12 + -8x = 10 + -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. 12 + -8x + 5x = 10 + -5x + 5x Combine like terms: -8x + 5x = -3x 12 + -3x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + -3x = 10 + 0 12 + -3x = 10 Add '-12' to each side of the equation. 12 + -12 + -3x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 10 + -12 -3x = 10 + -12 Combine like terms: 10 + -12 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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