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Simplifying -8(x + 6) + 8(x + -1) = -6x + 2x Reorder the terms: -8(6 + x) + 8(x + -1) = -6x + 2x (6 * -8 + x * -8) + 8(x + -1) = -6x + 2x (-48 + -8x) + 8(x + -1) = -6x + 2x Reorder the terms: -48 + -8x + 8(-1 + x) = -6x + 2x -48 + -8x + (-1 * 8 + x * 8) = -6x + 2x -48 + -8x + (-8 + 8x) = -6x + 2x Reorder the terms: -48 + -8 + -8x + 8x = -6x + 2x Combine like terms: -48 + -8 = -56 -56 + -8x + 8x = -6x + 2x Combine like terms: -8x + 8x = 0 -56 + 0 = -6x + 2x -56 = -6x + 2x Combine like terms: -6x + 2x = -4x -56 = -4x Solving -56 = -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. -56 + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -56 + 4x = 0 Add '56' to each side of the equation. -56 + 56 + 4x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 4x = 0 + 56 4x = 0 + 56 Combine like terms: 0 + 56 = 56 4x = 56 Divide each side by '4'. x = 14 Simplifying x = 14
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