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Simplifying 1.5(3x + -2) = 3(1.2x + 0.5) Reorder the terms: 1.5(-2 + 3x) = 3(1.2x + 0.5) (-2 * 1.5 + 3x * 1.5) = 3(1.2x + 0.5) (-3 + 4.5x) = 3(1.2x + 0.5) Reorder the terms: -3 + 4.5x = 3(0.5 + 1.2x) -3 + 4.5x = (0.5 * 3 + 1.2x * 3) -3 + 4.5x = (1.5 + 3.6x) Solving -3 + 4.5x = 1.5 + 3.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.6x' to each side of the equation. -3 + 4.5x + -3.6x = 1.5 + 3.6x + -3.6x Combine like terms: 4.5x + -3.6x = 0.9x -3 + 0.9x = 1.5 + 3.6x + -3.6x Combine like terms: 3.6x + -3.6x = 0.0 -3 + 0.9x = 1.5 + 0.0 -3 + 0.9x = 1.5 Add '3' to each side of the equation. -3 + 3 + 0.9x = 1.5 + 3 Combine like terms: -3 + 3 = 0 0 + 0.9x = 1.5 + 3 0.9x = 1.5 + 3 Combine like terms: 1.5 + 3 = 4.5 0.9x = 4.5 Divide each side by '0.9'. x = 5 Simplifying x = 5
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