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Simplifying 1 + -0.5(-1x + 3) = 3 + 2(7 + -1x) Reorder the terms: 1 + -0.5(3 + -1x) = 3 + 2(7 + -1x) 1 + (3 * -0.5 + -1x * -0.5) = 3 + 2(7 + -1x) 1 + (-1.5 + 0.5x) = 3 + 2(7 + -1x) Combine like terms: 1 + -1.5 = -0.5 -0.5 + 0.5x = 3 + 2(7 + -1x) -0.5 + 0.5x = 3 + (7 * 2 + -1x * 2) -0.5 + 0.5x = 3 + (14 + -2x) Combine like terms: 3 + 14 = 17 -0.5 + 0.5x = 17 + -2x Solving -0.5 + 0.5x = 17 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -0.5 + 0.5x + 2x = 17 + -2x + 2x Combine like terms: 0.5x + 2x = 2.5x -0.5 + 2.5x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 -0.5 + 2.5x = 17 + 0 -0.5 + 2.5x = 17 Add '0.5' to each side of the equation. -0.5 + 0.5 + 2.5x = 17 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 2.5x = 17 + 0.5 2.5x = 17 + 0.5 Combine like terms: 17 + 0.5 = 17.5 2.5x = 17.5 Divide each side by '2.5'. x = 7 Simplifying x = 7
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