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