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Simplifying 0.7(3x + 2) = 1.1 + -1(x + 3) Reorder the terms: 0.7(2 + 3x) = 1.1 + -1(x + 3) (2 * 0.7 + 3x * 0.7) = 1.1 + -1(x + 3) (1.4 + 2.1x) = 1.1 + -1(x + 3) Reorder the terms: 1.4 + 2.1x = 1.1 + -1(3 + x) 1.4 + 2.1x = 1.1 + (3 * -1 + x * -1) 1.4 + 2.1x = 1.1 + (-3 + -1x) Combine like terms: 1.1 + -3 = -1.9 1.4 + 2.1x = -1.9 + -1x Solving 1.4 + 2.1x = -1.9 + -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. 1.4 + 2.1x + x = -1.9 + -1x + x Combine like terms: 2.1x + x = 3.1x 1.4 + 3.1x = -1.9 + -1x + x Combine like terms: -1x + x = 0 1.4 + 3.1x = -1.9 + 0 1.4 + 3.1x = -1.9 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 3.1x = -1.9 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 3.1x = -1.9 + -1.4 3.1x = -1.9 + -1.4 Combine like terms: -1.9 + -1.4 = -3.3 3.1x = -3.3 Divide each side by '3.1'. x = -1.064516129 Simplifying x = -1.064516129
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