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Simplifying 3(x + -6) = 30 + -3x Reorder the terms: 3(-6 + x) = 30 + -3x (-6 * 3 + x * 3) = 30 + -3x (-18 + 3x) = 30 + -3x Solving -18 + 3x = 30 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -18 + 3x + 3x = 30 + -3x + 3x Combine like terms: 3x + 3x = 6x -18 + 6x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 -18 + 6x = 30 + 0 -18 + 6x = 30 Add '18' to each side of the equation. -18 + 18 + 6x = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 30 + 18 6x = 30 + 18 Combine like terms: 30 + 18 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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