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Simplifying 4 + 3(x + 2) = 5 + -1(3 + -1x) Reorder the terms: 4 + 3(2 + x) = 5 + -1(3 + -1x) 4 + (2 * 3 + x * 3) = 5 + -1(3 + -1x) 4 + (6 + 3x) = 5 + -1(3 + -1x) Combine like terms: 4 + 6 = 10 10 + 3x = 5 + -1(3 + -1x) 10 + 3x = 5 + (3 * -1 + -1x * -1) 10 + 3x = 5 + (-3 + 1x) Combine like terms: 5 + -3 = 2 10 + 3x = 2 + 1x Solving 10 + 3x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + 3x + -1x = 2 + 1x + -1x Combine like terms: 3x + -1x = 2x 10 + 2x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 10 + 2x = 2 + 0 10 + 2x = 2 Add '-10' to each side of the equation. 10 + -10 + 2x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 2 + -10 2x = 2 + -10 Combine like terms: 2 + -10 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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