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Simplifying 0.3(x + 2) = -0.1(-2x + -4) Reorder the terms: 0.3(2 + x) = -0.1(-2x + -4) (2 * 0.3 + x * 0.3) = -0.1(-2x + -4) (0.6 + 0.3x) = -0.1(-2x + -4) Reorder the terms: 0.6 + 0.3x = -0.1(-4 + -2x) 0.6 + 0.3x = (-4 * -0.1 + -2x * -0.1) 0.6 + 0.3x = (0.4 + 0.2x) Solving 0.6 + 0.3x = 0.4 + 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. 0.6 + 0.3x + -0.2x = 0.4 + 0.2x + -0.2x Combine like terms: 0.3x + -0.2x = 0.1x 0.6 + 0.1x = 0.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.6 + 0.1x = 0.4 + 0.0 0.6 + 0.1x = 0.4 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.1x = 0.4 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.1x = 0.4 + -0.6 0.1x = 0.4 + -0.6 Combine like terms: 0.4 + -0.6 = -0.2 0.1x = -0.2 Divide each side by '0.1'. x = -2 Simplifying x = -2
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