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Simplifying 3(x + -6) = 38 + -4x Reorder the terms: 3(-6 + x) = 38 + -4x (-6 * 3 + x * 3) = 38 + -4x (-18 + 3x) = 38 + -4x Solving -18 + 3x = 38 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -18 + 3x + 4x = 38 + -4x + 4x Combine like terms: 3x + 4x = 7x -18 + 7x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 -18 + 7x = 38 + 0 -18 + 7x = 38 Add '18' to each side of the equation. -18 + 18 + 7x = 38 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = 38 + 18 7x = 38 + 18 Combine like terms: 38 + 18 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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