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Simplifying 1.5(x + 4) + -3 = 4.5(x + -2) Reorder the terms: 1.5(4 + x) + -3 = 4.5(x + -2) (4 * 1.5 + x * 1.5) + -3 = 4.5(x + -2) (6 + 1.5x) + -3 = 4.5(x + -2) Reorder the terms: 6 + -3 + 1.5x = 4.5(x + -2) Combine like terms: 6 + -3 = 3 3 + 1.5x = 4.5(x + -2) Reorder the terms: 3 + 1.5x = 4.5(-2 + x) 3 + 1.5x = (-2 * 4.5 + x * 4.5) 3 + 1.5x = (-9 + 4.5x) Solving 3 + 1.5x = -9 + 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. 3 + 1.5x + -4.5x = -9 + 4.5x + -4.5x Combine like terms: 1.5x + -4.5x = -3x 3 + -3x = -9 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 3 + -3x = -9 + 0.0 3 + -3x = -9 Add '-3' to each side of the equation. 3 + -3 + -3x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -9 + -3 -3x = -9 + -3 Combine like terms: -9 + -3 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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