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Simplifying 2(6x + 1) + 3(x + -1) = 59 Reorder the terms: 2(1 + 6x) + 3(x + -1) = 59 (1 * 2 + 6x * 2) + 3(x + -1) = 59 (2 + 12x) + 3(x + -1) = 59 Reorder the terms: 2 + 12x + 3(-1 + x) = 59 2 + 12x + (-1 * 3 + x * 3) = 59 2 + 12x + (-3 + 3x) = 59 Reorder the terms: 2 + -3 + 12x + 3x = 59 Combine like terms: 2 + -3 = -1 -1 + 12x + 3x = 59 Combine like terms: 12x + 3x = 15x -1 + 15x = 59 Solving -1 + 15x = 59 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 + 15x = 59 + 1 Combine like terms: -1 + 1 = 0 0 + 15x = 59 + 1 15x = 59 + 1 Combine like terms: 59 + 1 = 60 15x = 60 Divide each side by '15'. x = 4 Simplifying x = 4
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