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Simplifying 0.7(3x + 6) = 1.5 + -1(x + 2) Reorder the terms: 0.7(6 + 3x) = 1.5 + -1(x + 2) (6 * 0.7 + 3x * 0.7) = 1.5 + -1(x + 2) (4.2 + 2.1x) = 1.5 + -1(x + 2) Reorder the terms: 4.2 + 2.1x = 1.5 + -1(2 + x) 4.2 + 2.1x = 1.5 + (2 * -1 + x * -1) 4.2 + 2.1x = 1.5 + (-2 + -1x) Combine like terms: 1.5 + -2 = -0.5 4.2 + 2.1x = -0.5 + -1x Solving 4.2 + 2.1x = -0.5 + -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. 4.2 + 2.1x + x = -0.5 + -1x + x Combine like terms: 2.1x + x = 3.1x 4.2 + 3.1x = -0.5 + -1x + x Combine like terms: -1x + x = 0 4.2 + 3.1x = -0.5 + 0 4.2 + 3.1x = -0.5 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 3.1x = -0.5 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 3.1x = -0.5 + -4.2 3.1x = -0.5 + -4.2 Combine like terms: -0.5 + -4.2 = -4.7 3.1x = -4.7 Divide each side by '3.1'. x = -1.516129032 Simplifying x = -1.516129032
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