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Simplifying 8x + 4(x + 2) = -2 + -6(2x + 9) Reorder the terms: 8x + 4(2 + x) = -2 + -6(2x + 9) 8x + (2 * 4 + x * 4) = -2 + -6(2x + 9) 8x + (8 + 4x) = -2 + -6(2x + 9) Reorder the terms: 8 + 8x + 4x = -2 + -6(2x + 9) Combine like terms: 8x + 4x = 12x 8 + 12x = -2 + -6(2x + 9) Reorder the terms: 8 + 12x = -2 + -6(9 + 2x) 8 + 12x = -2 + (9 * -6 + 2x * -6) 8 + 12x = -2 + (-54 + -12x) Combine like terms: -2 + -54 = -56 8 + 12x = -56 + -12x Solving 8 + 12x = -56 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 8 + 12x + 12x = -56 + -12x + 12x Combine like terms: 12x + 12x = 24x 8 + 24x = -56 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 24x = -56 + 0 8 + 24x = -56 Add '-8' to each side of the equation. 8 + -8 + 24x = -56 + -8 Combine like terms: 8 + -8 = 0 0 + 24x = -56 + -8 24x = -56 + -8 Combine like terms: -56 + -8 = -64 24x = -64 Divide each side by '24'. x = -2.666666667 Simplifying x = -2.666666667
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