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Simplifying 2(0.2x + 1) = 0.6(2x + -10) Reorder the terms: 2(1 + 0.2x) = 0.6(2x + -10) (1 * 2 + 0.2x * 2) = 0.6(2x + -10) (2 + 0.4x) = 0.6(2x + -10) Reorder the terms: 2 + 0.4x = 0.6(-10 + 2x) 2 + 0.4x = (-10 * 0.6 + 2x * 0.6) 2 + 0.4x = (-6 + 1.2x) Solving 2 + 0.4x = -6 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 2 + 0.4x + -1.2x = -6 + 1.2x + -1.2x Combine like terms: 0.4x + -1.2x = -0.8x 2 + -0.8x = -6 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 2 + -0.8x = -6 + 0.0 2 + -0.8x = -6 Add '-2' to each side of the equation. 2 + -2 + -0.8x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -0.8x = -6 + -2 -0.8x = -6 + -2 Combine like terms: -6 + -2 = -8 -0.8x = -8 Divide each side by '-0.8'. x = 10 Simplifying x = 10
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