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Simplifying (6x + 12) + -1(2x + 2) = 38 Reorder the terms: (12 + 6x) + -1(2x + 2) = 38 Remove parenthesis around (12 + 6x) 12 + 6x + -1(2x + 2) = 38 Reorder the terms: 12 + 6x + -1(2 + 2x) = 38 12 + 6x + (2 * -1 + 2x * -1) = 38 12 + 6x + (-2 + -2x) = 38 Reorder the terms: 12 + -2 + 6x + -2x = 38 Combine like terms: 12 + -2 = 10 10 + 6x + -2x = 38 Combine like terms: 6x + -2x = 4x 10 + 4x = 38 Solving 10 + 4x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 4x = 38 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 38 + -10 4x = 38 + -10 Combine like terms: 38 + -10 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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