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Simplifying 1.5x + -3(1.5x + -25) = 45 Reorder the terms: 1.5x + -3(-25 + 1.5x) = 45 1.5x + (-25 * -3 + 1.5x * -3) = 45 1.5x + (75 + -4.5x) = 45 Reorder the terms: 75 + 1.5x + -4.5x = 45 Combine like terms: 1.5x + -4.5x = -3x 75 + -3x = 45 Solving 75 + -3x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -3x = 45 + -75 Combine like terms: 75 + -75 = 0 0 + -3x = 45 + -75 -3x = 45 + -75 Combine like terms: 45 + -75 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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