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Simplifying 26 + -5x = -7(x + -4) Reorder the terms: 26 + -5x = -7(-4 + x) 26 + -5x = (-4 * -7 + x * -7) 26 + -5x = (28 + -7x) Solving 26 + -5x = 28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 26 + -5x + 7x = 28 + -7x + 7x Combine like terms: -5x + 7x = 2x 26 + 2x = 28 + -7x + 7x Combine like terms: -7x + 7x = 0 26 + 2x = 28 + 0 26 + 2x = 28 Add '-26' to each side of the equation. 26 + -26 + 2x = 28 + -26 Combine like terms: 26 + -26 = 0 0 + 2x = 28 + -26 2x = 28 + -26 Combine like terms: 28 + -26 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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