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Simplifying 3(x + -6) = 2(x + 1) + 4 Reorder the terms: 3(-6 + x) = 2(x + 1) + 4 (-6 * 3 + x * 3) = 2(x + 1) + 4 (-18 + 3x) = 2(x + 1) + 4 Reorder the terms: -18 + 3x = 2(1 + x) + 4 -18 + 3x = (1 * 2 + x * 2) + 4 -18 + 3x = (2 + 2x) + 4 Reorder the terms: -18 + 3x = 2 + 4 + 2x Combine like terms: 2 + 4 = 6 -18 + 3x = 6 + 2x Solving -18 + 3x = 6 + 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 + 3x + -2x = 6 + 2x + -2x Combine like terms: 3x + -2x = 1x -18 + 1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 1x = 6 + 0 -18 + 1x = 6 Add '18' to each side of the equation. -18 + 18 + 1x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = 6 + 18 1x = 6 + 18 Combine like terms: 6 + 18 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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