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Simplifying 0.5(x + 2) = 0.4(2x + -2) Reorder the terms: 0.5(2 + x) = 0.4(2x + -2) (2 * 0.5 + x * 0.5) = 0.4(2x + -2) (1 + 0.5x) = 0.4(2x + -2) Reorder the terms: 1 + 0.5x = 0.4(-2 + 2x) 1 + 0.5x = (-2 * 0.4 + 2x * 0.4) 1 + 0.5x = (-0.8 + 0.8x) Solving 1 + 0.5x = -0.8 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 1 + 0.5x + -0.8x = -0.8 + 0.8x + -0.8x Combine like terms: 0.5x + -0.8x = -0.3x 1 + -0.3x = -0.8 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 1 + -0.3x = -0.8 + 0.0 1 + -0.3x = -0.8 Add '-1' to each side of the equation. 1 + -1 + -0.3x = -0.8 + -1 Combine like terms: 1 + -1 = 0 0 + -0.3x = -0.8 + -1 -0.3x = -0.8 + -1 Combine like terms: -0.8 + -1 = -1.8 -0.3x = -1.8 Divide each side by '-0.3'. x = 6 Simplifying x = 6
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