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Simplifying 0.5x + -0.5(2x + -1) = -0.2(x + 3) Reorder the terms: 0.5x + -0.5(-1 + 2x) = -0.2(x + 3) 0.5x + (-1 * -0.5 + 2x * -0.5) = -0.2(x + 3) 0.5x + (0.5 + -1x) = -0.2(x + 3) Reorder the terms: 0.5 + 0.5x + -1x = -0.2(x + 3) Combine like terms: 0.5x + -1x = -0.5x 0.5 + -0.5x = -0.2(x + 3) Reorder the terms: 0.5 + -0.5x = -0.2(3 + x) 0.5 + -0.5x = (3 * -0.2 + x * -0.2) 0.5 + -0.5x = (-0.6 + -0.2x) Solving 0.5 + -0.5x = -0.6 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 0.5 + -0.5x + 0.2x = -0.6 + -0.2x + 0.2x Combine like terms: -0.5x + 0.2x = -0.3x 0.5 + -0.3x = -0.6 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 0.5 + -0.3x = -0.6 + 0.0 0.5 + -0.3x = -0.6 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.3x = -0.6 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.3x = -0.6 + -0.5 -0.3x = -0.6 + -0.5 Combine like terms: -0.6 + -0.5 = -1.1 -0.3x = -1.1 Divide each side by '-0.3'. x = 3.666666667 Simplifying x = 3.666666667
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