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Simplifying 5(2x + 6) + -7(x + -5) = 23 Reorder the terms: 5(6 + 2x) + -7(x + -5) = 23 (6 * 5 + 2x * 5) + -7(x + -5) = 23 (30 + 10x) + -7(x + -5) = 23 Reorder the terms: 30 + 10x + -7(-5 + x) = 23 30 + 10x + (-5 * -7 + x * -7) = 23 30 + 10x + (35 + -7x) = 23 Reorder the terms: 30 + 35 + 10x + -7x = 23 Combine like terms: 30 + 35 = 65 65 + 10x + -7x = 23 Combine like terms: 10x + -7x = 3x 65 + 3x = 23 Solving 65 + 3x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + 3x = 23 + -65 Combine like terms: 65 + -65 = 0 0 + 3x = 23 + -65 3x = 23 + -65 Combine like terms: 23 + -65 = -42 3x = -42 Divide each side by '3'. x = -14 Simplifying x = -14
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