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