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Simplifying 4(2x + 6) + -2(5x + -9x + 8) + 8 = 0 Reorder the terms: 4(6 + 2x) + -2(5x + -9x + 8) + 8 = 0 (6 * 4 + 2x * 4) + -2(5x + -9x + 8) + 8 = 0 (24 + 8x) + -2(5x + -9x + 8) + 8 = 0 Reorder the terms: 24 + 8x + -2(8 + 5x + -9x) + 8 = 0 Combine like terms: 5x + -9x = -4x 24 + 8x + -2(8 + -4x) + 8 = 0 24 + 8x + (8 * -2 + -4x * -2) + 8 = 0 24 + 8x + (-16 + 8x) + 8 = 0 Reorder the terms: 24 + -16 + 8 + 8x + 8x = 0 Combine like terms: 24 + -16 = 8 8 + 8 + 8x + 8x = 0 Combine like terms: 8 + 8 = 16 16 + 8x + 8x = 0 Combine like terms: 8x + 8x = 16x 16 + 16x = 0 Solving 16 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 16x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 16x = 0 + -16 16x = 0 + -16 Combine like terms: 0 + -16 = -16 16x = -16 Divide each side by '16'. x = -1 Simplifying x = -1
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