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Simplifying 0.5(x + -3) + 1.5 + -1x = 5x Reorder the terms: 0.5(-3 + x) + 1.5 + -1x = 5x (-3 * 0.5 + x * 0.5) + 1.5 + -1x = 5x (-1.5 + 0.5x) + 1.5 + -1x = 5x Reorder the terms: -1.5 + 1.5 + 0.5x + -1x = 5x Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.5x + -1x = 5x 0.5x + -1x = 5x Combine like terms: 0.5x + -1x = -0.5x -0.5x = 5x Solving -0.5x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -0.5x + -5x = 5x + -5x Combine like terms: -0.5x + -5x = -5.5x -5.5x = 5x + -5x Combine like terms: 5x + -5x = 0 -5.5x = 0 Divide each side by '-5.5'. x = 0 Simplifying x = 0
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