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Simplifying 3(x + -2) + 4.5 + 1.5(x + -3) = 15 Reorder the terms: 3(-2 + x) + 4.5 + 1.5(x + -3) = 15 (-2 * 3 + x * 3) + 4.5 + 1.5(x + -3) = 15 (-6 + 3x) + 4.5 + 1.5(x + -3) = 15 Reorder the terms: -6 + 3x + 4.5 + 1.5(-3 + x) = 15 -6 + 3x + 4.5 + (-3 * 1.5 + x * 1.5) = 15 -6 + 3x + 4.5 + (-4.5 + 1.5x) = 15 Reorder the terms: -6 + 4.5 + -4.5 + 3x + 1.5x = 15 Combine like terms: -6 + 4.5 = -1.5 -1.5 + -4.5 + 3x + 1.5x = 15 Combine like terms: -1.5 + -4.5 = -6 -6 + 3x + 1.5x = 15 Combine like terms: 3x + 1.5x = 4.5x -6 + 4.5x = 15 Solving -6 + 4.5x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4.5x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 4.5x = 15 + 6 4.5x = 15 + 6 Combine like terms: 15 + 6 = 21 4.5x = 21 Divide each side by '4.5'. x = 4.666666667 Simplifying x = 4.666666667
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