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Simplifying -5x + 12 = 5(-3x + -1) + -7x Reorder the terms: 12 + -5x = 5(-3x + -1) + -7x Reorder the terms: 12 + -5x = 5(-1 + -3x) + -7x 12 + -5x = (-1 * 5 + -3x * 5) + -7x 12 + -5x = (-5 + -15x) + -7x Combine like terms: -15x + -7x = -22x 12 + -5x = -5 + -22x Solving 12 + -5x = -5 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 12 + -5x + 22x = -5 + -22x + 22x Combine like terms: -5x + 22x = 17x 12 + 17x = -5 + -22x + 22x Combine like terms: -22x + 22x = 0 12 + 17x = -5 + 0 12 + 17x = -5 Add '-12' to each side of the equation. 12 + -12 + 17x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 17x = -5 + -12 17x = -5 + -12 Combine like terms: -5 + -12 = -17 17x = -17 Divide each side by '17'. x = -1 Simplifying x = -1
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