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Simplifying 8(x + -1) = 3(2x + 2) Reorder the terms: 8(-1 + x) = 3(2x + 2) (-1 * 8 + x * 8) = 3(2x + 2) (-8 + 8x) = 3(2x + 2) Reorder the terms: -8 + 8x = 3(2 + 2x) -8 + 8x = (2 * 3 + 2x * 3) -8 + 8x = (6 + 6x) Solving -8 + 8x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 8x + -6x = 6 + 6x + -6x Combine like terms: 8x + -6x = 2x -8 + 2x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 2x = 6 + 0 -8 + 2x = 6 Add '8' to each side of the equation. -8 + 8 + 2x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 6 + 8 2x = 6 + 8 Combine like terms: 6 + 8 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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