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Simplifying 1.5x + -2x + 27 = 63 + -1x Reorder the terms: 27 + 1.5x + -2x = 63 + -1x Combine like terms: 1.5x + -2x = -0.5x 27 + -0.5x = 63 + -1x Solving 27 + -0.5x = 63 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 27 + -0.5x + x = 63 + -1x + x Combine like terms: -0.5x + x = 0.5x 27 + 0.5x = 63 + -1x + x Combine like terms: -1x + x = 0 27 + 0.5x = 63 + 0 27 + 0.5x = 63 Add '-27' to each side of the equation. 27 + -27 + 0.5x = 63 + -27 Combine like terms: 27 + -27 = 0 0 + 0.5x = 63 + -27 0.5x = 63 + -27 Combine like terms: 63 + -27 = 36 0.5x = 36 Divide each side by '0.5'. x = 72 Simplifying x = 72
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