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Simplifying 2(4 + -8x + -7x) + 9(2x + 8) = 8 Combine like terms: -8x + -7x = -15x 2(4 + -15x) + 9(2x + 8) = 8 (4 * 2 + -15x * 2) + 9(2x + 8) = 8 (8 + -30x) + 9(2x + 8) = 8 Reorder the terms: 8 + -30x + 9(8 + 2x) = 8 8 + -30x + (8 * 9 + 2x * 9) = 8 8 + -30x + (72 + 18x) = 8 Reorder the terms: 8 + 72 + -30x + 18x = 8 Combine like terms: 8 + 72 = 80 80 + -30x + 18x = 8 Combine like terms: -30x + 18x = -12x 80 + -12x = 8 Solving 80 + -12x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -12x = 8 + -80 Combine like terms: 80 + -80 = 0 0 + -12x = 8 + -80 -12x = 8 + -80 Combine like terms: 8 + -80 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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