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Simplifying 0.2x + -0.5(2x + -1) = -0.4(x + 3) Reorder the terms: 0.2x + -0.5(-1 + 2x) = -0.4(x + 3) 0.2x + (-1 * -0.5 + 2x * -0.5) = -0.4(x + 3) 0.2x + (0.5 + -1x) = -0.4(x + 3) Reorder the terms: 0.5 + 0.2x + -1x = -0.4(x + 3) Combine like terms: 0.2x + -1x = -0.8x 0.5 + -0.8x = -0.4(x + 3) Reorder the terms: 0.5 + -0.8x = -0.4(3 + x) 0.5 + -0.8x = (3 * -0.4 + x * -0.4) 0.5 + -0.8x = (-1.2 + -0.4x) Solving 0.5 + -0.8x = -1.2 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 0.5 + -0.8x + 0.4x = -1.2 + -0.4x + 0.4x Combine like terms: -0.8x + 0.4x = -0.4x 0.5 + -0.4x = -1.2 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 0.5 + -0.4x = -1.2 + 0.0 0.5 + -0.4x = -1.2 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.4x = -1.2 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.4x = -1.2 + -0.5 -0.4x = -1.2 + -0.5 Combine like terms: -1.2 + -0.5 = -1.7 -0.4x = -1.7 Divide each side by '-0.4'. x = 4.25 Simplifying x = 4.25
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