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Simplifying 26 + 2x = 7(-1x + 6) + -79 Reorder the terms: 26 + 2x = 7(6 + -1x) + -79 26 + 2x = (6 * 7 + -1x * 7) + -79 26 + 2x = (42 + -7x) + -79 Reorder the terms: 26 + 2x = 42 + -79 + -7x Combine like terms: 42 + -79 = -37 26 + 2x = -37 + -7x Solving 26 + 2x = -37 + -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 + 2x + 7x = -37 + -7x + 7x Combine like terms: 2x + 7x = 9x 26 + 9x = -37 + -7x + 7x Combine like terms: -7x + 7x = 0 26 + 9x = -37 + 0 26 + 9x = -37 Add '-26' to each side of the equation. 26 + -26 + 9x = -37 + -26 Combine like terms: 26 + -26 = 0 0 + 9x = -37 + -26 9x = -37 + -26 Combine like terms: -37 + -26 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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