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Simplifying 3(x + -5) + -3(3x + -6) = -5 + (3x + -7) Reorder the terms: 3(-5 + x) + -3(3x + -6) = -5 + (3x + -7) (-5 * 3 + x * 3) + -3(3x + -6) = -5 + (3x + -7) (-15 + 3x) + -3(3x + -6) = -5 + (3x + -7) Reorder the terms: -15 + 3x + -3(-6 + 3x) = -5 + (3x + -7) -15 + 3x + (-6 * -3 + 3x * -3) = -5 + (3x + -7) -15 + 3x + (18 + -9x) = -5 + (3x + -7) Reorder the terms: -15 + 18 + 3x + -9x = -5 + (3x + -7) Combine like terms: -15 + 18 = 3 3 + 3x + -9x = -5 + (3x + -7) Combine like terms: 3x + -9x = -6x 3 + -6x = -5 + (3x + -7) Reorder the terms: 3 + -6x = -5 + (-7 + 3x) Remove parenthesis around (-7 + 3x) 3 + -6x = -5 + -7 + 3x Combine like terms: -5 + -7 = -12 3 + -6x = -12 + 3x Solving 3 + -6x = -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. 3 + -6x + -3x = -12 + 3x + -3x Combine like terms: -6x + -3x = -9x 3 + -9x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -9x = -12 + 0 3 + -9x = -12 Add '-3' to each side of the equation. 3 + -3 + -9x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = -12 + -3 -9x = -12 + -3 Combine like terms: -12 + -3 = -15 -9x = -15 Divide each side by '-9'. x = 1.666666667 Simplifying x = 1.666666667
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