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Simplifying -59 = 2(2 + 3x) + -5(7x + 1) -59 = (2 * 2 + 3x * 2) + -5(7x + 1) -59 = (4 + 6x) + -5(7x + 1) Reorder the terms: -59 = 4 + 6x + -5(1 + 7x) -59 = 4 + 6x + (1 * -5 + 7x * -5) -59 = 4 + 6x + (-5 + -35x) Reorder the terms: -59 = 4 + -5 + 6x + -35x Combine like terms: 4 + -5 = -1 -59 = -1 + 6x + -35x Combine like terms: 6x + -35x = -29x -59 = -1 + -29x Solving -59 = -1 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. -59 + 29x = -1 + -29x + 29x Combine like terms: -29x + 29x = 0 -59 + 29x = -1 + 0 -59 + 29x = -1 Add '59' to each side of the equation. -59 + 59 + 29x = -1 + 59 Combine like terms: -59 + 59 = 0 0 + 29x = -1 + 59 29x = -1 + 59 Combine like terms: -1 + 59 = 58 29x = 58 Divide each side by '29'. x = 2 Simplifying x = 2
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