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Simplifying 3(2x + -1) + -2(x + 3) = 2(2x + -1) + (x + 3) Reorder the terms: 3(-1 + 2x) + -2(x + 3) = 2(2x + -1) + (x + 3) (-1 * 3 + 2x * 3) + -2(x + 3) = 2(2x + -1) + (x + 3) (-3 + 6x) + -2(x + 3) = 2(2x + -1) + (x + 3) Reorder the terms: -3 + 6x + -2(3 + x) = 2(2x + -1) + (x + 3) -3 + 6x + (3 * -2 + x * -2) = 2(2x + -1) + (x + 3) -3 + 6x + (-6 + -2x) = 2(2x + -1) + (x + 3) Reorder the terms: -3 + -6 + 6x + -2x = 2(2x + -1) + (x + 3) Combine like terms: -3 + -6 = -9 -9 + 6x + -2x = 2(2x + -1) + (x + 3) Combine like terms: 6x + -2x = 4x -9 + 4x = 2(2x + -1) + (x + 3) Reorder the terms: -9 + 4x = 2(-1 + 2x) + (x + 3) -9 + 4x = (-1 * 2 + 2x * 2) + (x + 3) -9 + 4x = (-2 + 4x) + (x + 3) Reorder the terms: -9 + 4x = -2 + 4x + (3 + x) Remove parenthesis around (3 + x) -9 + 4x = -2 + 4x + 3 + x Reorder the terms: -9 + 4x = -2 + 3 + 4x + x Combine like terms: -2 + 3 = 1 -9 + 4x = 1 + 4x + x Combine like terms: 4x + x = 5x -9 + 4x = 1 + 5x Solving -9 + 4x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 4x + -5x = 1 + 5x + -5x Combine like terms: 4x + -5x = -1x -9 + -1x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -1x = 1 + 0 -9 + -1x = 1 Add '9' to each side of the equation. -9 + 9 + -1x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 1 + 9 -1x = 1 + 9 Combine like terms: 1 + 9 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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