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Simplifying 6x + 5 = -1(x + -26) Reorder the terms: 5 + 6x = -1(x + -26) Reorder the terms: 5 + 6x = -1(-26 + x) 5 + 6x = (-26 * -1 + x * -1) 5 + 6x = (26 + -1x) Solving 5 + 6x = 26 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + 6x + x = 26 + -1x + x Combine like terms: 6x + x = 7x 5 + 7x = 26 + -1x + x Combine like terms: -1x + x = 0 5 + 7x = 26 + 0 5 + 7x = 26 Add '-5' to each side of the equation. 5 + -5 + 7x = 26 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 26 + -5 7x = 26 + -5 Combine like terms: 26 + -5 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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