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Simplifying 0.6(2x + 2) = -0.1(2x + 5) Reorder the terms: 0.6(2 + 2x) = -0.1(2x + 5) (2 * 0.6 + 2x * 0.6) = -0.1(2x + 5) (1.2 + 1.2x) = -0.1(2x + 5) Reorder the terms: 1.2 + 1.2x = -0.1(5 + 2x) 1.2 + 1.2x = (5 * -0.1 + 2x * -0.1) 1.2 + 1.2x = (-0.5 + -0.2x) Solving 1.2 + 1.2x = -0.5 + -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. 1.2 + 1.2x + 0.2x = -0.5 + -0.2x + 0.2x Combine like terms: 1.2x + 0.2x = 1.4x 1.2 + 1.4x = -0.5 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 1.2 + 1.4x = -0.5 + 0.0 1.2 + 1.4x = -0.5 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 1.4x = -0.5 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 1.4x = -0.5 + -1.2 1.4x = -0.5 + -1.2 Combine like terms: -0.5 + -1.2 = -1.7 1.4x = -1.7 Divide each side by '1.4'. x = -1.214285714 Simplifying x = -1.214285714
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