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Simplifying 3(15x + -6) = -3(7 + -6x) Reorder the terms: 3(-6 + 15x) = -3(7 + -6x) (-6 * 3 + 15x * 3) = -3(7 + -6x) (-18 + 45x) = -3(7 + -6x) -18 + 45x = (7 * -3 + -6x * -3) -18 + 45x = (-21 + 18x) Solving -18 + 45x = -21 + 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. -18 + 45x + -18x = -21 + 18x + -18x Combine like terms: 45x + -18x = 27x -18 + 27x = -21 + 18x + -18x Combine like terms: 18x + -18x = 0 -18 + 27x = -21 + 0 -18 + 27x = -21 Add '18' to each side of the equation. -18 + 18 + 27x = -21 + 18 Combine like terms: -18 + 18 = 0 0 + 27x = -21 + 18 27x = -21 + 18 Combine like terms: -21 + 18 = -3 27x = -3 Divide each side by '27'. x = -0.1111111111 Simplifying x = -0.1111111111
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