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Simplifying 1.5(x + -3) = 4.5x + 3 Reorder the terms: 1.5(-3 + x) = 4.5x + 3 (-3 * 1.5 + x * 1.5) = 4.5x + 3 (-4.5 + 1.5x) = 4.5x + 3 Reorder the terms: -4.5 + 1.5x = 3 + 4.5x Solving -4.5 + 1.5x = 3 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. -4.5 + 1.5x + -4.5x = 3 + 4.5x + -4.5x Combine like terms: 1.5x + -4.5x = -3x -4.5 + -3x = 3 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -4.5 + -3x = 3 + 0.0 -4.5 + -3x = 3 Add '4.5' to each side of the equation. -4.5 + 4.5 + -3x = 3 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -3x = 3 + 4.5 -3x = 3 + 4.5 Combine like terms: 3 + 4.5 = 7.5 -3x = 7.5 Divide each side by '-3'. x = -2.5 Simplifying x = -2.5
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