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Simplifying 8(x + -8) + -8(-2x + 7) = -1x + -5x Reorder the terms: 8(-8 + x) + -8(-2x + 7) = -1x + -5x (-8 * 8 + x * 8) + -8(-2x + 7) = -1x + -5x (-64 + 8x) + -8(-2x + 7) = -1x + -5x Reorder the terms: -64 + 8x + -8(7 + -2x) = -1x + -5x -64 + 8x + (7 * -8 + -2x * -8) = -1x + -5x -64 + 8x + (-56 + 16x) = -1x + -5x Reorder the terms: -64 + -56 + 8x + 16x = -1x + -5x Combine like terms: -64 + -56 = -120 -120 + 8x + 16x = -1x + -5x Combine like terms: 8x + 16x = 24x -120 + 24x = -1x + -5x Combine like terms: -1x + -5x = -6x -120 + 24x = -6x Solving -120 + 24x = -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. -120 + 24x + 6x = -6x + 6x Combine like terms: 24x + 6x = 30x -120 + 30x = -6x + 6x Combine like terms: -6x + 6x = 0 -120 + 30x = 0 Add '120' to each side of the equation. -120 + 120 + 30x = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 30x = 0 + 120 30x = 0 + 120 Combine like terms: 0 + 120 = 120 30x = 120 Divide each side by '30'. x = 4 Simplifying x = 4
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