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Simplifying 2(x + -5) + -3(3 + -1x) = 0.5(x + 2) Reorder the terms: 2(-5 + x) + -3(3 + -1x) = 0.5(x + 2) (-5 * 2 + x * 2) + -3(3 + -1x) = 0.5(x + 2) (-10 + 2x) + -3(3 + -1x) = 0.5(x + 2) -10 + 2x + (3 * -3 + -1x * -3) = 0.5(x + 2) -10 + 2x + (-9 + 3x) = 0.5(x + 2) Reorder the terms: -10 + -9 + 2x + 3x = 0.5(x + 2) Combine like terms: -10 + -9 = -19 -19 + 2x + 3x = 0.5(x + 2) Combine like terms: 2x + 3x = 5x -19 + 5x = 0.5(x + 2) Reorder the terms: -19 + 5x = 0.5(2 + x) -19 + 5x = (2 * 0.5 + x * 0.5) -19 + 5x = (1 + 0.5x) Solving -19 + 5x = 1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -19 + 5x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: 5x + -0.5x = 4.5x -19 + 4.5x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -19 + 4.5x = 1 + 0.0 -19 + 4.5x = 1 Add '19' to each side of the equation. -19 + 19 + 4.5x = 1 + 19 Combine like terms: -19 + 19 = 0 0 + 4.5x = 1 + 19 4.5x = 1 + 19 Combine like terms: 1 + 19 = 20 4.5x = 20 Divide each side by '4.5'. x = 4.444444444 Simplifying x = 4.444444444
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