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Simplifying -7x + 26 = 4(x + 1) Reorder the terms: 26 + -7x = 4(x + 1) Reorder the terms: 26 + -7x = 4(1 + x) 26 + -7x = (1 * 4 + x * 4) 26 + -7x = (4 + 4x) Solving 26 + -7x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 26 + -7x + -4x = 4 + 4x + -4x Combine like terms: -7x + -4x = -11x 26 + -11x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 26 + -11x = 4 + 0 26 + -11x = 4 Add '-26' to each side of the equation. 26 + -26 + -11x = 4 + -26 Combine like terms: 26 + -26 = 0 0 + -11x = 4 + -26 -11x = 4 + -26 Combine like terms: 4 + -26 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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