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Simplifying 2(3x + -1) = 5(-1x + 1) + 4 Reorder the terms: 2(-1 + 3x) = 5(-1x + 1) + 4 (-1 * 2 + 3x * 2) = 5(-1x + 1) + 4 (-2 + 6x) = 5(-1x + 1) + 4 Reorder the terms: -2 + 6x = 5(1 + -1x) + 4 -2 + 6x = (1 * 5 + -1x * 5) + 4 -2 + 6x = (5 + -5x) + 4 Reorder the terms: -2 + 6x = 5 + 4 + -5x Combine like terms: 5 + 4 = 9 -2 + 6x = 9 + -5x Solving -2 + 6x = 9 + -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. -2 + 6x + 5x = 9 + -5x + 5x Combine like terms: 6x + 5x = 11x -2 + 11x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 11x = 9 + 0 -2 + 11x = 9 Add '2' to each side of the equation. -2 + 2 + 11x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 9 + 2 11x = 9 + 2 Combine like terms: 9 + 2 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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