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Simplifying 3(x + (x + 2) + (x + 4)) = 10(x + 2) + -6 Reorder the terms: 3(x + (2 + x) + (x + 4)) = 10(x + 2) + -6 Remove parenthesis around (2 + x) 3(x + 2 + x + (x + 4)) = 10(x + 2) + -6 Reorder the terms: 3(x + 2 + x + (4 + x)) = 10(x + 2) + -6 Remove parenthesis around (4 + x) 3(x + 2 + x + 4 + x) = 10(x + 2) + -6 Reorder the terms: 3(2 + 4 + x + x + x) = 10(x + 2) + -6 Combine like terms: 2 + 4 = 6 3(6 + x + x + x) = 10(x + 2) + -6 Combine like terms: x + x = 2x 3(6 + 2x + x) = 10(x + 2) + -6 Combine like terms: 2x + x = 3x 3(6 + 3x) = 10(x + 2) + -6 (6 * 3 + 3x * 3) = 10(x + 2) + -6 (18 + 9x) = 10(x + 2) + -6 Reorder the terms: 18 + 9x = 10(2 + x) + -6 18 + 9x = (2 * 10 + x * 10) + -6 18 + 9x = (20 + 10x) + -6 Reorder the terms: 18 + 9x = 20 + -6 + 10x Combine like terms: 20 + -6 = 14 18 + 9x = 14 + 10x Solving 18 + 9x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 18 + 9x + -10x = 14 + 10x + -10x Combine like terms: 9x + -10x = -1x 18 + -1x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -1x = 14 + 0 18 + -1x = 14 Add '-18' to each side of the equation. 18 + -18 + -1x = 14 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 14 + -18 -1x = 14 + -18 Combine like terms: 14 + -18 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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