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Simplifying 3(x + -1) + 2(3x + 4) = 2(3x + 4 + x + -1) Reorder the terms: 3(-1 + x) + 2(3x + 4) = 2(3x + 4 + x + -1) (-1 * 3 + x * 3) + 2(3x + 4) = 2(3x + 4 + x + -1) (-3 + 3x) + 2(3x + 4) = 2(3x + 4 + x + -1) Reorder the terms: -3 + 3x + 2(4 + 3x) = 2(3x + 4 + x + -1) -3 + 3x + (4 * 2 + 3x * 2) = 2(3x + 4 + x + -1) -3 + 3x + (8 + 6x) = 2(3x + 4 + x + -1) Reorder the terms: -3 + 8 + 3x + 6x = 2(3x + 4 + x + -1) Combine like terms: -3 + 8 = 5 5 + 3x + 6x = 2(3x + 4 + x + -1) Combine like terms: 3x + 6x = 9x 5 + 9x = 2(3x + 4 + x + -1) Reorder the terms: 5 + 9x = 2(4 + -1 + 3x + x) Combine like terms: 4 + -1 = 3 5 + 9x = 2(3 + 3x + x) Combine like terms: 3x + x = 4x 5 + 9x = 2(3 + 4x) 5 + 9x = (3 * 2 + 4x * 2) 5 + 9x = (6 + 8x) Solving 5 + 9x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5 + 9x + -8x = 6 + 8x + -8x Combine like terms: 9x + -8x = 1x 5 + 1x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + 1x = 6 + 0 5 + 1x = 6 Add '-5' to each side of the equation. 5 + -5 + 1x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 6 + -5 1x = 6 + -5 Combine like terms: 6 + -5 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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