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