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Simplifying 6x + -8 = 22 + -1(x + -5) Reorder the terms: -8 + 6x = 22 + -1(x + -5) Reorder the terms: -8 + 6x = 22 + -1(-5 + x) -8 + 6x = 22 + (-5 * -1 + x * -1) -8 + 6x = 22 + (5 + -1x) Combine like terms: 22 + 5 = 27 -8 + 6x = 27 + -1x Solving -8 + 6x = 27 + -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. -8 + 6x + x = 27 + -1x + x Combine like terms: 6x + x = 7x -8 + 7x = 27 + -1x + x Combine like terms: -1x + x = 0 -8 + 7x = 27 + 0 -8 + 7x = 27 Add '8' to each side of the equation. -8 + 8 + 7x = 27 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 27 + 8 7x = 27 + 8 Combine like terms: 27 + 8 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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