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Simplifying 6x + -12x + 4x + -1 = -1x + -7x + 12 + -3x + 5 Reorder the terms: -1 + 6x + -12x + 4x = -1x + -7x + 12 + -3x + 5 Combine like terms: 6x + -12x = -6x -1 + -6x + 4x = -1x + -7x + 12 + -3x + 5 Combine like terms: -6x + 4x = -2x -1 + -2x = -1x + -7x + 12 + -3x + 5 Reorder the terms: -1 + -2x = 12 + 5 + -1x + -7x + -3x Combine like terms: 12 + 5 = 17 -1 + -2x = 17 + -1x + -7x + -3x Combine like terms: -1x + -7x = -8x -1 + -2x = 17 + -8x + -3x Combine like terms: -8x + -3x = -11x -1 + -2x = 17 + -11x Solving -1 + -2x = 17 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -1 + -2x + 11x = 17 + -11x + 11x Combine like terms: -2x + 11x = 9x -1 + 9x = 17 + -11x + 11x Combine like terms: -11x + 11x = 0 -1 + 9x = 17 + 0 -1 + 9x = 17 Add '1' to each side of the equation. -1 + 1 + 9x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 9x = 17 + 1 9x = 17 + 1 Combine like terms: 17 + 1 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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