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Simplifying 8 + -2(4x + 9) = 6x + -4(x + -5) Reorder the terms: 8 + -2(9 + 4x) = 6x + -4(x + -5) 8 + (9 * -2 + 4x * -2) = 6x + -4(x + -5) 8 + (-18 + -8x) = 6x + -4(x + -5) Combine like terms: 8 + -18 = -10 -10 + -8x = 6x + -4(x + -5) Reorder the terms: -10 + -8x = 6x + -4(-5 + x) -10 + -8x = 6x + (-5 * -4 + x * -4) -10 + -8x = 6x + (20 + -4x) Reorder the terms: -10 + -8x = 20 + 6x + -4x Combine like terms: 6x + -4x = 2x -10 + -8x = 20 + 2x Solving -10 + -8x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + -8x + -2x = 20 + 2x + -2x Combine like terms: -8x + -2x = -10x -10 + -10x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -10x = 20 + 0 -10 + -10x = 20 Add '10' to each side of the equation. -10 + 10 + -10x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -10x = 20 + 10 -10x = 20 + 10 Combine like terms: 20 + 10 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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