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Simplifying 0.7(3x + 2) = 1.1 + -1(x + 6) Reorder the terms: 0.7(2 + 3x) = 1.1 + -1(x + 6) (2 * 0.7 + 3x * 0.7) = 1.1 + -1(x + 6) (1.4 + 2.1x) = 1.1 + -1(x + 6) Reorder the terms: 1.4 + 2.1x = 1.1 + -1(6 + x) 1.4 + 2.1x = 1.1 + (6 * -1 + x * -1) 1.4 + 2.1x = 1.1 + (-6 + -1x) Combine like terms: 1.1 + -6 = -4.9 1.4 + 2.1x = -4.9 + -1x Solving 1.4 + 2.1x = -4.9 + -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 = -4.9 + -1x + x Combine like terms: 2.1x + x = 3.1x 1.4 + 3.1x = -4.9 + -1x + x Combine like terms: -1x + x = 0 1.4 + 3.1x = -4.9 + 0 1.4 + 3.1x = -4.9 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 3.1x = -4.9 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 3.1x = -4.9 + -1.4 3.1x = -4.9 + -1.4 Combine like terms: -4.9 + -1.4 = -6.3 3.1x = -6.3 Divide each side by '3.1'. x = -2.032258065 Simplifying x = -2.032258065
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