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Simplifying 8x + 4(x + -5) = 9(2x + 6) + -8 Reorder the terms: 8x + 4(-5 + x) = 9(2x + 6) + -8 8x + (-5 * 4 + x * 4) = 9(2x + 6) + -8 8x + (-20 + 4x) = 9(2x + 6) + -8 Reorder the terms: -20 + 8x + 4x = 9(2x + 6) + -8 Combine like terms: 8x + 4x = 12x -20 + 12x = 9(2x + 6) + -8 Reorder the terms: -20 + 12x = 9(6 + 2x) + -8 -20 + 12x = (6 * 9 + 2x * 9) + -8 -20 + 12x = (54 + 18x) + -8 Reorder the terms: -20 + 12x = 54 + -8 + 18x Combine like terms: 54 + -8 = 46 -20 + 12x = 46 + 18x Solving -20 + 12x = 46 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -20 + 12x + -18x = 46 + 18x + -18x Combine like terms: 12x + -18x = -6x -20 + -6x = 46 + 18x + -18x Combine like terms: 18x + -18x = 0 -20 + -6x = 46 + 0 -20 + -6x = 46 Add '20' to each side of the equation. -20 + 20 + -6x = 46 + 20 Combine like terms: -20 + 20 = 0 0 + -6x = 46 + 20 -6x = 46 + 20 Combine like terms: 46 + 20 = 66 -6x = 66 Divide each side by '-6'. x = -11 Simplifying x = -11
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