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Simplifying 0.5(3x + 6) = 1.1 + -1(x + 2) Reorder the terms: 0.5(6 + 3x) = 1.1 + -1(x + 2) (6 * 0.5 + 3x * 0.5) = 1.1 + -1(x + 2) (3 + 1.5x) = 1.1 + -1(x + 2) Reorder the terms: 3 + 1.5x = 1.1 + -1(2 + x) 3 + 1.5x = 1.1 + (2 * -1 + x * -1) 3 + 1.5x = 1.1 + (-2 + -1x) Combine like terms: 1.1 + -2 = -0.9 3 + 1.5x = -0.9 + -1x Solving 3 + 1.5x = -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. 3 + 1.5x + x = -0.9 + -1x + x Combine like terms: 1.5x + x = 2.5x 3 + 2.5x = -0.9 + -1x + x Combine like terms: -1x + x = 0 3 + 2.5x = -0.9 + 0 3 + 2.5x = -0.9 Add '-3' to each side of the equation. 3 + -3 + 2.5x = -0.9 + -3 Combine like terms: 3 + -3 = 0 0 + 2.5x = -0.9 + -3 2.5x = -0.9 + -3 Combine like terms: -0.9 + -3 = -3.9 2.5x = -3.9 Divide each side by '2.5'. x = -1.56 Simplifying x = -1.56
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