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Simplifying 3(x + -6) = 38 + -5x Reorder the terms: 3(-6 + x) = 38 + -5x (-6 * 3 + x * 3) = 38 + -5x (-18 + 3x) = 38 + -5x Solving -18 + 3x = 38 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -18 + 3x + 5x = 38 + -5x + 5x Combine like terms: 3x + 5x = 8x -18 + 8x = 38 + -5x + 5x Combine like terms: -5x + 5x = 0 -18 + 8x = 38 + 0 -18 + 8x = 38 Add '18' to each side of the equation. -18 + 18 + 8x = 38 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = 38 + 18 8x = 38 + 18 Combine like terms: 38 + 18 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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