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Simplifying 0.7(3x + 5) = 1.1 + -1(x + 2) Reorder the terms: 0.7(5 + 3x) = 1.1 + -1(x + 2) (5 * 0.7 + 3x * 0.7) = 1.1 + -1(x + 2) (3.5 + 2.1x) = 1.1 + -1(x + 2) Reorder the terms: 3.5 + 2.1x = 1.1 + -1(2 + x) 3.5 + 2.1x = 1.1 + (2 * -1 + x * -1) 3.5 + 2.1x = 1.1 + (-2 + -1x) Combine like terms: 1.1 + -2 = -0.9 3.5 + 2.1x = -0.9 + -1x Solving 3.5 + 2.1x = -0.9 + -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. 3.5 + 2.1x + x = -0.9 + -1x + x Combine like terms: 2.1x + x = 3.1x 3.5 + 3.1x = -0.9 + -1x + x Combine like terms: -1x + x = 0 3.5 + 3.1x = -0.9 + 0 3.5 + 3.1x = -0.9 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 3.1x = -0.9 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 3.1x = -0.9 + -3.5 3.1x = -0.9 + -3.5 Combine like terms: -0.9 + -3.5 = -4.4 3.1x = -4.4 Divide each side by '3.1'. x = -1.419354839 Simplifying x = -1.419354839
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