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Simplifying 6(-3x + 10) = -3(9x + 10) Reorder the terms: 6(10 + -3x) = -3(9x + 10) (10 * 6 + -3x * 6) = -3(9x + 10) (60 + -18x) = -3(9x + 10) Reorder the terms: 60 + -18x = -3(10 + 9x) 60 + -18x = (10 * -3 + 9x * -3) 60 + -18x = (-30 + -27x) Solving 60 + -18x = -30 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 60 + -18x + 27x = -30 + -27x + 27x Combine like terms: -18x + 27x = 9x 60 + 9x = -30 + -27x + 27x Combine like terms: -27x + 27x = 0 60 + 9x = -30 + 0 60 + 9x = -30 Add '-60' to each side of the equation. 60 + -60 + 9x = -30 + -60 Combine like terms: 60 + -60 = 0 0 + 9x = -30 + -60 9x = -30 + -60 Combine like terms: -30 + -60 = -90 9x = -90 Divide each side by '9'. x = -10 Simplifying x = -10
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