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Simplifying 0.7(5x + 2) = 1.1 + -1(x + 2) Reorder the terms: 0.7(2 + 5x) = 1.1 + -1(x + 2) (2 * 0.7 + 5x * 0.7) = 1.1 + -1(x + 2) (1.4 + 3.5x) = 1.1 + -1(x + 2) Reorder the terms: 1.4 + 3.5x = 1.1 + -1(2 + x) 1.4 + 3.5x = 1.1 + (2 * -1 + x * -1) 1.4 + 3.5x = 1.1 + (-2 + -1x) Combine like terms: 1.1 + -2 = -0.9 1.4 + 3.5x = -0.9 + -1x Solving 1.4 + 3.5x = -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. 1.4 + 3.5x + x = -0.9 + -1x + x Combine like terms: 3.5x + x = 4.5x 1.4 + 4.5x = -0.9 + -1x + x Combine like terms: -1x + x = 0 1.4 + 4.5x = -0.9 + 0 1.4 + 4.5x = -0.9 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 4.5x = -0.9 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 4.5x = -0.9 + -1.4 4.5x = -0.9 + -1.4 Combine like terms: -0.9 + -1.4 = -2.3 4.5x = -2.3 Divide each side by '4.5'. x = -0.5111111111 Simplifying x = -0.5111111111
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