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Simplifying (3x + 4) + -1(2x + -2) = 21 Reorder the terms: (4 + 3x) + -1(2x + -2) = 21 Remove parenthesis around (4 + 3x) 4 + 3x + -1(2x + -2) = 21 Reorder the terms: 4 + 3x + -1(-2 + 2x) = 21 4 + 3x + (-2 * -1 + 2x * -1) = 21 4 + 3x + (2 + -2x) = 21 Reorder the terms: 4 + 2 + 3x + -2x = 21 Combine like terms: 4 + 2 = 6 6 + 3x + -2x = 21 Combine like terms: 3x + -2x = 1x 6 + 1x = 21 Solving 6 + 1x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 21 + -6 1x = 21 + -6 Combine like terms: 21 + -6 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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