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Simplifying 8(x + -8) + -2 = -27 + -5x Reorder the terms: 8(-8 + x) + -2 = -27 + -5x (-8 * 8 + x * 8) + -2 = -27 + -5x (-64 + 8x) + -2 = -27 + -5x Reorder the terms: -64 + -2 + 8x = -27 + -5x Combine like terms: -64 + -2 = -66 -66 + 8x = -27 + -5x Solving -66 + 8x = -27 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -66 + 8x + 5x = -27 + -5x + 5x Combine like terms: 8x + 5x = 13x -66 + 13x = -27 + -5x + 5x Combine like terms: -5x + 5x = 0 -66 + 13x = -27 + 0 -66 + 13x = -27 Add '66' to each side of the equation. -66 + 66 + 13x = -27 + 66 Combine like terms: -66 + 66 = 0 0 + 13x = -27 + 66 13x = -27 + 66 Combine like terms: -27 + 66 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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