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Simplifying -3(6 + x) = -2(x + 9) + -8x (6 * -3 + x * -3) = -2(x + 9) + -8x (-18 + -3x) = -2(x + 9) + -8x Reorder the terms: -18 + -3x = -2(9 + x) + -8x -18 + -3x = (9 * -2 + x * -2) + -8x -18 + -3x = (-18 + -2x) + -8x Combine like terms: -2x + -8x = -10x -18 + -3x = -18 + -10x Add '18' to each side of the equation. -18 + 18 + -3x = -18 + 18 + -10x Combine like terms: -18 + 18 = 0 0 + -3x = -18 + 18 + -10x -3x = -18 + 18 + -10x Combine like terms: -18 + 18 = 0 -3x = 0 + -10x -3x = -10x Solving -3x = -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. -3x + 10x = -10x + 10x Combine like terms: -3x + 10x = 7x 7x = -10x + 10x Combine like terms: -10x + 10x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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