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Simplifying -1x + 2(5x + -1) = 2(3x + 4) + x Reorder the terms: -1x + 2(-1 + 5x) = 2(3x + 4) + x -1x + (-1 * 2 + 5x * 2) = 2(3x + 4) + x -1x + (-2 + 10x) = 2(3x + 4) + x Reorder the terms: -2 + -1x + 10x = 2(3x + 4) + x Combine like terms: -1x + 10x = 9x -2 + 9x = 2(3x + 4) + x Reorder the terms: -2 + 9x = 2(4 + 3x) + x -2 + 9x = (4 * 2 + 3x * 2) + x -2 + 9x = (8 + 6x) + x Combine like terms: 6x + x = 7x -2 + 9x = 8 + 7x Solving -2 + 9x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 9x + -7x = 8 + 7x + -7x Combine like terms: 9x + -7x = 2x -2 + 2x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + 2x = 8 + 0 -2 + 2x = 8 Add '2' to each side of the equation. -2 + 2 + 2x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 8 + 2 2x = 8 + 2 Combine like terms: 8 + 2 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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