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Simplifying (6x + -2) + -1(3x + -1) = 29 Reorder the terms: (-2 + 6x) + -1(3x + -1) = 29 Remove parenthesis around (-2 + 6x) -2 + 6x + -1(3x + -1) = 29 Reorder the terms: -2 + 6x + -1(-1 + 3x) = 29 -2 + 6x + (-1 * -1 + 3x * -1) = 29 -2 + 6x + (1 + -3x) = 29 Reorder the terms: -2 + 1 + 6x + -3x = 29 Combine like terms: -2 + 1 = -1 -1 + 6x + -3x = 29 Combine like terms: 6x + -3x = 3x -1 + 3x = 29 Solving -1 + 3x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3x = 29 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 29 + 1 3x = 29 + 1 Combine like terms: 29 + 1 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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