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Simplifying 5(5 + -1.5x) = -2x + 3 (5 * 5 + -1.5x * 5) = -2x + 3 (25 + -7.5x) = -2x + 3 Reorder the terms: 25 + -7.5x = 3 + -2x Solving 25 + -7.5x = 3 + -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. 25 + -7.5x + 2x = 3 + -2x + 2x Combine like terms: -7.5x + 2x = -5.5x 25 + -5.5x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 25 + -5.5x = 3 + 0 25 + -5.5x = 3 Add '-25' to each side of the equation. 25 + -25 + -5.5x = 3 + -25 Combine like terms: 25 + -25 = 0 0 + -5.5x = 3 + -25 -5.5x = 3 + -25 Combine like terms: 3 + -25 = -22 -5.5x = -22 Divide each side by '-5.5'. x = 4 Simplifying x = 4
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