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Simplifying 8 + -6x = 12 + -1(7x + 8) Reorder the terms: 8 + -6x = 12 + -1(8 + 7x) 8 + -6x = 12 + (8 * -1 + 7x * -1) 8 + -6x = 12 + (-8 + -7x) Combine like terms: 12 + -8 = 4 8 + -6x = 4 + -7x Solving 8 + -6x = 4 + -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. 8 + -6x + 7x = 4 + -7x + 7x Combine like terms: -6x + 7x = 1x 8 + 1x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 1x = 4 + 0 8 + 1x = 4 Add '-8' to each side of the equation. 8 + -8 + 1x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 4 + -8 1x = 4 + -8 Combine like terms: 4 + -8 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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