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