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Simplifying 8 + 4(-9x + 4) = 2(6x + 4) + 6 Reorder the terms: 8 + 4(4 + -9x) = 2(6x + 4) + 6 8 + (4 * 4 + -9x * 4) = 2(6x + 4) + 6 8 + (16 + -36x) = 2(6x + 4) + 6 Combine like terms: 8 + 16 = 24 24 + -36x = 2(6x + 4) + 6 Reorder the terms: 24 + -36x = 2(4 + 6x) + 6 24 + -36x = (4 * 2 + 6x * 2) + 6 24 + -36x = (8 + 12x) + 6 Reorder the terms: 24 + -36x = 8 + 6 + 12x Combine like terms: 8 + 6 = 14 24 + -36x = 14 + 12x Solving 24 + -36x = 14 + 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. 24 + -36x + -12x = 14 + 12x + -12x Combine like terms: -36x + -12x = -48x 24 + -48x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -48x = 14 + 0 24 + -48x = 14 Add '-24' to each side of the equation. 24 + -24 + -48x = 14 + -24 Combine like terms: 24 + -24 = 0 0 + -48x = 14 + -24 -48x = 14 + -24 Combine like terms: 14 + -24 = -10 -48x = -10 Divide each side by '-48'. x = 0.2083333333 Simplifying x = 0.2083333333
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