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Simplifying 3(2x + 1) + -2(x + 1) = 5 + -2(x + -4) Reorder the terms: 3(1 + 2x) + -2(x + 1) = 5 + -2(x + -4) (1 * 3 + 2x * 3) + -2(x + 1) = 5 + -2(x + -4) (3 + 6x) + -2(x + 1) = 5 + -2(x + -4) Reorder the terms: 3 + 6x + -2(1 + x) = 5 + -2(x + -4) 3 + 6x + (1 * -2 + x * -2) = 5 + -2(x + -4) 3 + 6x + (-2 + -2x) = 5 + -2(x + -4) Reorder the terms: 3 + -2 + 6x + -2x = 5 + -2(x + -4) Combine like terms: 3 + -2 = 1 1 + 6x + -2x = 5 + -2(x + -4) Combine like terms: 6x + -2x = 4x 1 + 4x = 5 + -2(x + -4) Reorder the terms: 1 + 4x = 5 + -2(-4 + x) 1 + 4x = 5 + (-4 * -2 + x * -2) 1 + 4x = 5 + (8 + -2x) Combine like terms: 5 + 8 = 13 1 + 4x = 13 + -2x Solving 1 + 4x = 13 + -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. 1 + 4x + 2x = 13 + -2x + 2x Combine like terms: 4x + 2x = 6x 1 + 6x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 6x = 13 + 0 1 + 6x = 13 Add '-1' to each side of the equation. 1 + -1 + 6x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 13 + -1 6x = 13 + -1 Combine like terms: 13 + -1 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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