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Simplifying -5(3 + -6x) = 7 + -6(6 + -3x) (3 * -5 + -6x * -5) = 7 + -6(6 + -3x) (-15 + 30x) = 7 + -6(6 + -3x) -15 + 30x = 7 + (6 * -6 + -3x * -6) -15 + 30x = 7 + (-36 + 18x) Combine like terms: 7 + -36 = -29 -15 + 30x = -29 + 18x Solving -15 + 30x = -29 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -15 + 30x + -18x = -29 + 18x + -18x Combine like terms: 30x + -18x = 12x -15 + 12x = -29 + 18x + -18x Combine like terms: 18x + -18x = 0 -15 + 12x = -29 + 0 -15 + 12x = -29 Add '15' to each side of the equation. -15 + 15 + 12x = -29 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = -29 + 15 12x = -29 + 15 Combine like terms: -29 + 15 = -14 12x = -14 Divide each side by '12'. x = -1.166666667 Simplifying x = -1.166666667
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