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Simplifying -6x + 7 = 3 + -1(x + 6) Reorder the terms: 7 + -6x = 3 + -1(x + 6) Reorder the terms: 7 + -6x = 3 + -1(6 + x) 7 + -6x = 3 + (6 * -1 + x * -1) 7 + -6x = 3 + (-6 + -1x) Combine like terms: 3 + -6 = -3 7 + -6x = -3 + -1x Solving 7 + -6x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + -6x + x = -3 + -1x + x Combine like terms: -6x + x = -5x 7 + -5x = -3 + -1x + x Combine like terms: -1x + x = 0 7 + -5x = -3 + 0 7 + -5x = -3 Add '-7' to each side of the equation. 7 + -7 + -5x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -3 + -7 -5x = -3 + -7 Combine like terms: -3 + -7 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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