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Simplifying (x + 6) + 2(x + 6) = 4x + -6 Reorder the terms: (6 + x) + 2(x + 6) = 4x + -6 Remove parenthesis around (6 + x) 6 + x + 2(x + 6) = 4x + -6 Reorder the terms: 6 + x + 2(6 + x) = 4x + -6 6 + x + (6 * 2 + x * 2) = 4x + -6 6 + x + (12 + 2x) = 4x + -6 Reorder the terms: 6 + 12 + x + 2x = 4x + -6 Combine like terms: 6 + 12 = 18 18 + x + 2x = 4x + -6 Combine like terms: x + 2x = 3x 18 + 3x = 4x + -6 Reorder the terms: 18 + 3x = -6 + 4x Solving 18 + 3x = -6 + 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 = -6 + 4x + -4x Combine like terms: 3x + -4x = -1x 18 + -1x = -6 + 4x + -4x Combine like terms: 4x + -4x = 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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