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Simplifying 4(2 + 3x) + -5x + 7 = 13 (2 * 4 + 3x * 4) + -5x + 7 = 13 (8 + 12x) + -5x + 7 = 13 Reorder the terms: 8 + 7 + 12x + -5x = 13 Combine like terms: 8 + 7 = 15 15 + 12x + -5x = 13 Combine like terms: 12x + -5x = 7x 15 + 7x = 13 Solving 15 + 7x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 7x = 13 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 13 + -15 7x = 13 + -15 Combine like terms: 13 + -15 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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