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