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Simplifying 0.3(7x + 6) = 1.4 + -1(x + 2) Reorder the terms: 0.3(6 + 7x) = 1.4 + -1(x + 2) (6 * 0.3 + 7x * 0.3) = 1.4 + -1(x + 2) (1.8 + 2.1x) = 1.4 + -1(x + 2) Reorder the terms: 1.8 + 2.1x = 1.4 + -1(2 + x) 1.8 + 2.1x = 1.4 + (2 * -1 + x * -1) 1.8 + 2.1x = 1.4 + (-2 + -1x) Combine like terms: 1.4 + -2 = -0.6 1.8 + 2.1x = -0.6 + -1x Solving 1.8 + 2.1x = -0.6 + -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. 1.8 + 2.1x + x = -0.6 + -1x + x Combine like terms: 2.1x + x = 3.1x 1.8 + 3.1x = -0.6 + -1x + x Combine like terms: -1x + x = 0 1.8 + 3.1x = -0.6 + 0 1.8 + 3.1x = -0.6 Add '-1.8' to each side of the equation. 1.8 + -1.8 + 3.1x = -0.6 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 3.1x = -0.6 + -1.8 3.1x = -0.6 + -1.8 Combine like terms: -0.6 + -1.8 = -2.4 3.1x = -2.4 Divide each side by '3.1'. x = -0.7741935484 Simplifying x = -0.7741935484
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