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Simplifying 6x + -12 + 4x + -1 = -1x + -7x + 12 + -3x + 5 Reorder the terms: -12 + -1 + 6x + 4x = -1x + -7x + 12 + -3x + 5 Combine like terms: -12 + -1 = -13 -13 + 6x + 4x = -1x + -7x + 12 + -3x + 5 Combine like terms: 6x + 4x = 10x -13 + 10x = -1x + -7x + 12 + -3x + 5 Reorder the terms: -13 + 10x = 12 + 5 + -1x + -7x + -3x Combine like terms: 12 + 5 = 17 -13 + 10x = 17 + -1x + -7x + -3x Combine like terms: -1x + -7x = -8x -13 + 10x = 17 + -8x + -3x Combine like terms: -8x + -3x = -11x -13 + 10x = 17 + -11x Solving -13 + 10x = 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. -13 + 10x + 11x = 17 + -11x + 11x Combine like terms: 10x + 11x = 21x -13 + 21x = 17 + -11x + 11x Combine like terms: -11x + 11x = 0 -13 + 21x = 17 + 0 -13 + 21x = 17 Add '13' to each side of the equation. -13 + 13 + 21x = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 21x = 17 + 13 21x = 17 + 13 Combine like terms: 17 + 13 = 30 21x = 30 Divide each side by '21'. x = 1.428571429 Simplifying x = 1.428571429
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