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Simplifying -12 + 13x = 5(2x + 1) + 13 Reorder the terms: -12 + 13x = 5(1 + 2x) + 13 -12 + 13x = (1 * 5 + 2x * 5) + 13 -12 + 13x = (5 + 10x) + 13 Reorder the terms: -12 + 13x = 5 + 13 + 10x Combine like terms: 5 + 13 = 18 -12 + 13x = 18 + 10x Solving -12 + 13x = 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. -12 + 13x + -10x = 18 + 10x + -10x Combine like terms: 13x + -10x = 3x -12 + 3x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + 3x = 18 + 0 -12 + 3x = 18 Add '12' to each side of the equation. -12 + 12 + 3x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 18 + 12 3x = 18 + 12 Combine like terms: 18 + 12 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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