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Simplifying 8(x + -1) = -2(-14 + -2x) Reorder the terms: 8(-1 + x) = -2(-14 + -2x) (-1 * 8 + x * 8) = -2(-14 + -2x) (-8 + 8x) = -2(-14 + -2x) -8 + 8x = (-14 * -2 + -2x * -2) -8 + 8x = (28 + 4x) Solving -8 + 8x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 8x + -4x = 28 + 4x + -4x Combine like terms: 8x + -4x = 4x -8 + 4x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 4x = 28 + 0 -8 + 4x = 28 Add '8' to each side of the equation. -8 + 8 + 4x = 28 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 28 + 8 4x = 28 + 8 Combine like terms: 28 + 8 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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