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Simplifying 3(x + -5) + -1(3x + -6) = -5 + (3x + -7) Reorder the terms: 3(-5 + x) + -1(3x + -6) = -5 + (3x + -7) (-5 * 3 + x * 3) + -1(3x + -6) = -5 + (3x + -7) (-15 + 3x) + -1(3x + -6) = -5 + (3x + -7) Reorder the terms: -15 + 3x + -1(-6 + 3x) = -5 + (3x + -7) -15 + 3x + (-6 * -1 + 3x * -1) = -5 + (3x + -7) -15 + 3x + (6 + -3x) = -5 + (3x + -7) Reorder the terms: -15 + 6 + 3x + -3x = -5 + (3x + -7) Combine like terms: -15 + 6 = -9 -9 + 3x + -3x = -5 + (3x + -7) Combine like terms: 3x + -3x = 0 -9 + 0 = -5 + (3x + -7) -9 = -5 + (3x + -7) Reorder the terms: -9 = -5 + (-7 + 3x) Remove parenthesis around (-7 + 3x) -9 = -5 + -7 + 3x Combine like terms: -5 + -7 = -12 -9 = -12 + 3x Solving -9 = -12 + 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. -9 + -3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -3x = -12 + 0 -9 + -3x = -12 Add '9' to each side of the equation. -9 + 9 + -3x = -12 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -12 + 9 -3x = -12 + 9 Combine like terms: -12 + 9 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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