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Simplifying 1.5(x + 2) + 4.5 + 1.5(x + -3) = 1 Reorder the terms: 1.5(2 + x) + 4.5 + 1.5(x + -3) = 1 (2 * 1.5 + x * 1.5) + 4.5 + 1.5(x + -3) = 1 (3 + 1.5x) + 4.5 + 1.5(x + -3) = 1 Reorder the terms: 3 + 1.5x + 4.5 + 1.5(-3 + x) = 1 3 + 1.5x + 4.5 + (-3 * 1.5 + x * 1.5) = 1 3 + 1.5x + 4.5 + (-4.5 + 1.5x) = 1 Reorder the terms: 3 + 4.5 + -4.5 + 1.5x + 1.5x = 1 Combine like terms: 3 + 4.5 = 7.5 7.5 + -4.5 + 1.5x + 1.5x = 1 Combine like terms: 7.5 + -4.5 = 3 3 + 1.5x + 1.5x = 1 Combine like terms: 1.5x + 1.5x = 3x 3 + 3x = 1 Solving 3 + 3x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 1 + -3 3x = 1 + -3 Combine like terms: 1 + -3 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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