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Simplifying -3(3x + -5) = 6(3x + 7) Reorder the terms: -3(-5 + 3x) = 6(3x + 7) (-5 * -3 + 3x * -3) = 6(3x + 7) (15 + -9x) = 6(3x + 7) Reorder the terms: 15 + -9x = 6(7 + 3x) 15 + -9x = (7 * 6 + 3x * 6) 15 + -9x = (42 + 18x) Solving 15 + -9x = 42 + 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 + -9x + -18x = 42 + 18x + -18x Combine like terms: -9x + -18x = -27x 15 + -27x = 42 + 18x + -18x Combine like terms: 18x + -18x = 0 15 + -27x = 42 + 0 15 + -27x = 42 Add '-15' to each side of the equation. 15 + -15 + -27x = 42 + -15 Combine like terms: 15 + -15 = 0 0 + -27x = 42 + -15 -27x = 42 + -15 Combine like terms: 42 + -15 = 27 -27x = 27 Divide each side by '-27'. x = -1 Simplifying x = -1
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