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Simplifying -5 = 3(x + -6) + -1(6x + -7) Reorder the terms: -5 = 3(-6 + x) + -1(6x + -7) -5 = (-6 * 3 + x * 3) + -1(6x + -7) -5 = (-18 + 3x) + -1(6x + -7) Reorder the terms: -5 = -18 + 3x + -1(-7 + 6x) -5 = -18 + 3x + (-7 * -1 + 6x * -1) -5 = -18 + 3x + (7 + -6x) Reorder the terms: -5 = -18 + 7 + 3x + -6x Combine like terms: -18 + 7 = -11 -5 = -11 + 3x + -6x Combine like terms: 3x + -6x = -3x -5 = -11 + -3x Solving -5 = -11 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + 3x = -11 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 3x = -11 + 0 -5 + 3x = -11 Add '5' to each side of the equation. -5 + 5 + 3x = -11 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -11 + 5 3x = -11 + 5 Combine like terms: -11 + 5 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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