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Simplifying -5x + 9 + -12x + -1 = x + 7 + -3x Reorder the terms: 9 + -1 + -5x + -12x = x + 7 + -3x Combine like terms: 9 + -1 = 8 8 + -5x + -12x = x + 7 + -3x Combine like terms: -5x + -12x = -17x 8 + -17x = x + 7 + -3x Reorder the terms: 8 + -17x = 7 + x + -3x Combine like terms: x + -3x = -2x 8 + -17x = 7 + -2x Solving 8 + -17x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + -17x + 2x = 7 + -2x + 2x Combine like terms: -17x + 2x = -15x 8 + -15x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -15x = 7 + 0 8 + -15x = 7 Add '-8' to each side of the equation. 8 + -8 + -15x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -15x = 7 + -8 -15x = 7 + -8 Combine like terms: 7 + -8 = -1 -15x = -1 Divide each side by '-15'. x = 0.06666666667 Simplifying x = 0.06666666667
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