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Simplifying 0.7(5x + 3) = 1.1 + -1(x + 6) Reorder the terms: 0.7(3 + 5x) = 1.1 + -1(x + 6) (3 * 0.7 + 5x * 0.7) = 1.1 + -1(x + 6) (2.1 + 3.5x) = 1.1 + -1(x + 6) Reorder the terms: 2.1 + 3.5x = 1.1 + -1(6 + x) 2.1 + 3.5x = 1.1 + (6 * -1 + x * -1) 2.1 + 3.5x = 1.1 + (-6 + -1x) Combine like terms: 1.1 + -6 = -4.9 2.1 + 3.5x = -4.9 + -1x Solving 2.1 + 3.5x = -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. 2.1 + 3.5x + x = -4.9 + -1x + x Combine like terms: 3.5x + x = 4.5x 2.1 + 4.5x = -4.9 + -1x + x Combine like terms: -1x + x = 0 2.1 + 4.5x = -4.9 + 0 2.1 + 4.5x = -4.9 Add '-2.1' to each side of the equation. 2.1 + -2.1 + 4.5x = -4.9 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 4.5x = -4.9 + -2.1 4.5x = -4.9 + -2.1 Combine like terms: -4.9 + -2.1 = -7 4.5x = -7 Divide each side by '4.5'. x = -1.555555556 Simplifying x = -1.555555556
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