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Simplifying 1.5(x + -6) = x + 9 Reorder the terms: 1.5(-6 + x) = x + 9 (-6 * 1.5 + x * 1.5) = x + 9 (-9 + 1.5x) = x + 9 Reorder the terms: -9 + 1.5x = 9 + x Solving -9 + 1.5x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + 1.5x + -1x = 9 + x + -1x Combine like terms: 1.5x + -1x = 0.5x -9 + 0.5x = 9 + x + -1x Combine like terms: x + -1x = 0 -9 + 0.5x = 9 + 0 -9 + 0.5x = 9 Add '9' to each side of the equation. -9 + 9 + 0.5x = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 0.5x = 9 + 9 0.5x = 9 + 9 Combine like terms: 9 + 9 = 18 0.5x = 18 Divide each side by '0.5'. x = 36 Simplifying x = 36
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