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Simplifying 3(x + -6) + 6x = 24 + 2x Reorder the terms: 3(-6 + x) + 6x = 24 + 2x (-6 * 3 + x * 3) + 6x = 24 + 2x (-18 + 3x) + 6x = 24 + 2x Combine like terms: 3x + 6x = 9x -18 + 9x = 24 + 2x Solving -18 + 9x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 9x + -2x = 24 + 2x + -2x Combine like terms: 9x + -2x = 7x -18 + 7x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 7x = 24 + 0 -18 + 7x = 24 Add '18' to each side of the equation. -18 + 18 + 7x = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = 24 + 18 7x = 24 + 18 Combine like terms: 24 + 18 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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