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Simplifying 3(x + 4) + 2(5x + -1) = 23 Reorder the terms: 3(4 + x) + 2(5x + -1) = 23 (4 * 3 + x * 3) + 2(5x + -1) = 23 (12 + 3x) + 2(5x + -1) = 23 Reorder the terms: 12 + 3x + 2(-1 + 5x) = 23 12 + 3x + (-1 * 2 + 5x * 2) = 23 12 + 3x + (-2 + 10x) = 23 Reorder the terms: 12 + -2 + 3x + 10x = 23 Combine like terms: 12 + -2 = 10 10 + 3x + 10x = 23 Combine like terms: 3x + 10x = 13x 10 + 13x = 23 Solving 10 + 13x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 13x = 23 + -10 Combine like terms: 10 + -10 = 0 0 + 13x = 23 + -10 13x = 23 + -10 Combine like terms: 23 + -10 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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