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Simplifying 8x + -8 = 7(x + -1) + -3 Reorder the terms: -8 + 8x = 7(x + -1) + -3 Reorder the terms: -8 + 8x = 7(-1 + x) + -3 -8 + 8x = (-1 * 7 + x * 7) + -3 -8 + 8x = (-7 + 7x) + -3 Reorder the terms: -8 + 8x = -7 + -3 + 7x Combine like terms: -7 + -3 = -10 -8 + 8x = -10 + 7x Solving -8 + 8x = -10 + 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 + 8x + -7x = -10 + 7x + -7x Combine like terms: 8x + -7x = 1x -8 + 1x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 1x = -10 + 0 -8 + 1x = -10 Add '8' to each side of the equation. -8 + 8 + 1x = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -10 + 8 1x = -10 + 8 Combine like terms: -10 + 8 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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