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Simplifying -5(x + -4) + 7(x + -1) = 23 Reorder the terms: -5(-4 + x) + 7(x + -1) = 23 (-4 * -5 + x * -5) + 7(x + -1) = 23 (20 + -5x) + 7(x + -1) = 23 Reorder the terms: 20 + -5x + 7(-1 + x) = 23 20 + -5x + (-1 * 7 + x * 7) = 23 20 + -5x + (-7 + 7x) = 23 Reorder the terms: 20 + -7 + -5x + 7x = 23 Combine like terms: 20 + -7 = 13 13 + -5x + 7x = 23 Combine like terms: -5x + 7x = 2x 13 + 2x = 23 Solving 13 + 2x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2x = 23 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 23 + -13 2x = 23 + -13 Combine like terms: 23 + -13 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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