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Simplifying 3(x + 1) = 2 + 4(2 + -1x) Reorder the terms: 3(1 + x) = 2 + 4(2 + -1x) (1 * 3 + x * 3) = 2 + 4(2 + -1x) (3 + 3x) = 2 + 4(2 + -1x) 3 + 3x = 2 + (2 * 4 + -1x * 4) 3 + 3x = 2 + (8 + -4x) Combine like terms: 2 + 8 = 10 3 + 3x = 10 + -4x Solving 3 + 3x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + 3x + 4x = 10 + -4x + 4x Combine like terms: 3x + 4x = 7x 3 + 7x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 7x = 10 + 0 3 + 7x = 10 Add '-3' to each side of the equation. 3 + -3 + 7x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 10 + -3 7x = 10 + -3 Combine like terms: 10 + -3 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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