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Simplifying 5x + 6 + -2(-7x + -1) = 7(x + -1) Reorder the terms: 5x + 6 + -2(-1 + -7x) = 7(x + -1) 5x + 6 + (-1 * -2 + -7x * -2) = 7(x + -1) 5x + 6 + (2 + 14x) = 7(x + -1) Reorder the terms: 6 + 2 + 5x + 14x = 7(x + -1) Combine like terms: 6 + 2 = 8 8 + 5x + 14x = 7(x + -1) Combine like terms: 5x + 14x = 19x 8 + 19x = 7(x + -1) Reorder the terms: 8 + 19x = 7(-1 + x) 8 + 19x = (-1 * 7 + x * 7) 8 + 19x = (-7 + 7x) Solving 8 + 19x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 19x + -7x = -7 + 7x + -7x Combine like terms: 19x + -7x = 12x 8 + 12x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 12x = -7 + 0 8 + 12x = -7 Add '-8' to each side of the equation. 8 + -8 + 12x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 12x = -7 + -8 12x = -7 + -8 Combine like terms: -7 + -8 = -15 12x = -15 Divide each side by '12'. x = -1.25 Simplifying x = -1.25
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