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Simplifying 0.5(x + -3) + (2.5 + -1x) = 5x Reorder the terms: 0.5(-3 + x) + (2.5 + -1x) = 5x (-3 * 0.5 + x * 0.5) + (2.5 + -1x) = 5x (-1.5 + 0.5x) + (2.5 + -1x) = 5x Remove parenthesis around (2.5 + -1x) -1.5 + 0.5x + 2.5 + -1x = 5x Reorder the terms: -1.5 + 2.5 + 0.5x + -1x = 5x Combine like terms: -1.5 + 2.5 = 1 1 + 0.5x + -1x = 5x Combine like terms: 0.5x + -1x = -0.5x 1 + -0.5x = 5x Solving 1 + -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. 1 + -0.5x + -5x = 5x + -5x Combine like terms: -0.5x + -5x = -5.5x 1 + -5.5x = 5x + -5x Combine like terms: 5x + -5x = 0 1 + -5.5x = 0 Add '-1' to each side of the equation. 1 + -1 + -5.5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5.5x = 0 + -1 -5.5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5.5x = -1 Divide each side by '-5.5'. x = 0.1818181818 Simplifying x = 0.1818181818
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