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Simplifying 1 + -0.5(-1x + 5) = 2 + 3(1 + -1x) Reorder the terms: 1 + -0.5(5 + -1x) = 2 + 3(1 + -1x) 1 + (5 * -0.5 + -1x * -0.5) = 2 + 3(1 + -1x) 1 + (-2.5 + 0.5x) = 2 + 3(1 + -1x) Combine like terms: 1 + -2.5 = -1.5 -1.5 + 0.5x = 2 + 3(1 + -1x) -1.5 + 0.5x = 2 + (1 * 3 + -1x * 3) -1.5 + 0.5x = 2 + (3 + -3x) Combine like terms: 2 + 3 = 5 -1.5 + 0.5x = 5 + -3x Solving -1.5 + 0.5x = 5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -1.5 + 0.5x + 3x = 5 + -3x + 3x Combine like terms: 0.5x + 3x = 3.5x -1.5 + 3.5x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -1.5 + 3.5x = 5 + 0 -1.5 + 3.5x = 5 Add '1.5' to each side of the equation. -1.5 + 1.5 + 3.5x = 5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 3.5x = 5 + 1.5 3.5x = 5 + 1.5 Combine like terms: 5 + 1.5 = 6.5 3.5x = 6.5 Divide each side by '3.5'. x = 1.857142857 Simplifying x = 1.857142857
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