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Simplifying -3x + 7 = 5 + -1(12x + 6) Reorder the terms: 7 + -3x = 5 + -1(12x + 6) Reorder the terms: 7 + -3x = 5 + -1(6 + 12x) 7 + -3x = 5 + (6 * -1 + 12x * -1) 7 + -3x = 5 + (-6 + -12x) Combine like terms: 5 + -6 = -1 7 + -3x = -1 + -12x Solving 7 + -3x = -1 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 7 + -3x + 12x = -1 + -12x + 12x Combine like terms: -3x + 12x = 9x 7 + 9x = -1 + -12x + 12x Combine like terms: -12x + 12x = 0 7 + 9x = -1 + 0 7 + 9x = -1 Add '-7' to each side of the equation. 7 + -7 + 9x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = -1 + -7 9x = -1 + -7 Combine like terms: -1 + -7 = -8 9x = -8 Divide each side by '9'. x = -0.8888888889 Simplifying x = -0.8888888889
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