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Simplifying (6x + 8) + -1(3x + 1) = 22 Reorder the terms: (8 + 6x) + -1(3x + 1) = 22 Remove parenthesis around (8 + 6x) 8 + 6x + -1(3x + 1) = 22 Reorder the terms: 8 + 6x + -1(1 + 3x) = 22 8 + 6x + (1 * -1 + 3x * -1) = 22 8 + 6x + (-1 + -3x) = 22 Reorder the terms: 8 + -1 + 6x + -3x = 22 Combine like terms: 8 + -1 = 7 7 + 6x + -3x = 22 Combine like terms: 6x + -3x = 3x 7 + 3x = 22 Solving 7 + 3x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x = 22 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 22 + -7 3x = 22 + -7 Combine like terms: 22 + -7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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