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Simplifying -6 + 3(-3x + -3) = -2(5x + 2) Reorder the terms: -6 + 3(-3 + -3x) = -2(5x + 2) -6 + (-3 * 3 + -3x * 3) = -2(5x + 2) -6 + (-9 + -9x) = -2(5x + 2) Combine like terms: -6 + -9 = -15 -15 + -9x = -2(5x + 2) Reorder the terms: -15 + -9x = -2(2 + 5x) -15 + -9x = (2 * -2 + 5x * -2) -15 + -9x = (-4 + -10x) Solving -15 + -9x = -4 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -15 + -9x + 10x = -4 + -10x + 10x Combine like terms: -9x + 10x = 1x -15 + 1x = -4 + -10x + 10x Combine like terms: -10x + 10x = 0 -15 + 1x = -4 + 0 -15 + 1x = -4 Add '15' to each side of the equation. -15 + 15 + 1x = -4 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -4 + 15 1x = -4 + 15 Combine like terms: -4 + 15 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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