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Simplifying 4x + 26 = 7 + -5(x + -2) Reorder the terms: 26 + 4x = 7 + -5(x + -2) Reorder the terms: 26 + 4x = 7 + -5(-2 + x) 26 + 4x = 7 + (-2 * -5 + x * -5) 26 + 4x = 7 + (10 + -5x) Combine like terms: 7 + 10 = 17 26 + 4x = 17 + -5x Solving 26 + 4x = 17 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 26 + 4x + 5x = 17 + -5x + 5x Combine like terms: 4x + 5x = 9x 26 + 9x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 26 + 9x = 17 + 0 26 + 9x = 17 Add '-26' to each side of the equation. 26 + -26 + 9x = 17 + -26 Combine like terms: 26 + -26 = 0 0 + 9x = 17 + -26 9x = 17 + -26 Combine like terms: 17 + -26 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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