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Simplifying 0.6(6x + 12) = 1.2 + -1(x + 2) Reorder the terms: 0.6(12 + 6x) = 1.2 + -1(x + 2) (12 * 0.6 + 6x * 0.6) = 1.2 + -1(x + 2) (7.2 + 3.6x) = 1.2 + -1(x + 2) Reorder the terms: 7.2 + 3.6x = 1.2 + -1(2 + x) 7.2 + 3.6x = 1.2 + (2 * -1 + x * -1) 7.2 + 3.6x = 1.2 + (-2 + -1x) Combine like terms: 1.2 + -2 = -0.8 7.2 + 3.6x = -0.8 + -1x Solving 7.2 + 3.6x = -0.8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7.2 + 3.6x + x = -0.8 + -1x + x Combine like terms: 3.6x + x = 4.6x 7.2 + 4.6x = -0.8 + -1x + x Combine like terms: -1x + x = 0 7.2 + 4.6x = -0.8 + 0 7.2 + 4.6x = -0.8 Add '-7.2' to each side of the equation. 7.2 + -7.2 + 4.6x = -0.8 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 4.6x = -0.8 + -7.2 4.6x = -0.8 + -7.2 Combine like terms: -0.8 + -7.2 = -8 4.6x = -8 Divide each side by '4.6'. x = -1.739130435 Simplifying x = -1.739130435
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