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Simplifying -12x + 13x = 5(2x + 1) + 13 Combine like terms: -12x + 13x = 1x 1x = 5(2x + 1) + 13 Reorder the terms: 1x = 5(1 + 2x) + 13 1x = (1 * 5 + 2x * 5) + 13 1x = (5 + 10x) + 13 Reorder the terms: 1x = 5 + 13 + 10x Combine like terms: 5 + 13 = 18 1x = 18 + 10x Solving 1x = 18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1x + -10x = 18 + 10x + -10x Combine like terms: 1x + -10x = -9x -9x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 -9x = 18 + 0 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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