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