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Simplifying 3.5 + -1(x + 3) = 2(x + 1) Reorder the terms: 3.5 + -1(3 + x) = 2(x + 1) 3.5 + (3 * -1 + x * -1) = 2(x + 1) 3.5 + (-3 + -1x) = 2(x + 1) Combine like terms: 3.5 + -3 = 0.5 0.5 + -1x = 2(x + 1) Reorder the terms: 0.5 + -1x = 2(1 + x) 0.5 + -1x = (1 * 2 + x * 2) 0.5 + -1x = (2 + 2x) Solving 0.5 + -1x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0.5 + -1x + -2x = 2 + 2x + -2x Combine like terms: -1x + -2x = -3x 0.5 + -3x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 0.5 + -3x = 2 + 0 0.5 + -3x = 2 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -3x = 2 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -3x = 2 + -0.5 -3x = 2 + -0.5 Combine like terms: 2 + -0.5 = 1.5 -3x = 1.5 Divide each side by '-3'. x = -0.5 Simplifying x = -0.5
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