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Simplifying 0.7(6x + 12) = 1.2 + -1(x + 2) Reorder the terms: 0.7(12 + 6x) = 1.2 + -1(x + 2) (12 * 0.7 + 6x * 0.7) = 1.2 + -1(x + 2) (8.4 + 4.2x) = 1.2 + -1(x + 2) Reorder the terms: 8.4 + 4.2x = 1.2 + -1(2 + x) 8.4 + 4.2x = 1.2 + (2 * -1 + x * -1) 8.4 + 4.2x = 1.2 + (-2 + -1x) Combine like terms: 1.2 + -2 = -0.8 8.4 + 4.2x = -0.8 + -1x Solving 8.4 + 4.2x = -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. 8.4 + 4.2x + x = -0.8 + -1x + x Combine like terms: 4.2x + x = 5.2x 8.4 + 5.2x = -0.8 + -1x + x Combine like terms: -1x + x = 0 8.4 + 5.2x = -0.8 + 0 8.4 + 5.2x = -0.8 Add '-8.4' to each side of the equation. 8.4 + -8.4 + 5.2x = -0.8 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + 5.2x = -0.8 + -8.4 5.2x = -0.8 + -8.4 Combine like terms: -0.8 + -8.4 = -9.2 5.2x = -9.2 Divide each side by '5.2'. x = -1.769230769 Simplifying x = -1.769230769
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