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Simplifying 8 + -6(4x + -9) = 4(5x + -1) + 14 Reorder the terms: 8 + -6(-9 + 4x) = 4(5x + -1) + 14 8 + (-9 * -6 + 4x * -6) = 4(5x + -1) + 14 8 + (54 + -24x) = 4(5x + -1) + 14 Combine like terms: 8 + 54 = 62 62 + -24x = 4(5x + -1) + 14 Reorder the terms: 62 + -24x = 4(-1 + 5x) + 14 62 + -24x = (-1 * 4 + 5x * 4) + 14 62 + -24x = (-4 + 20x) + 14 Reorder the terms: 62 + -24x = -4 + 14 + 20x Combine like terms: -4 + 14 = 10 62 + -24x = 10 + 20x Solving 62 + -24x = 10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 62 + -24x + -20x = 10 + 20x + -20x Combine like terms: -24x + -20x = -44x 62 + -44x = 10 + 20x + -20x Combine like terms: 20x + -20x = 0 62 + -44x = 10 + 0 62 + -44x = 10 Add '-62' to each side of the equation. 62 + -62 + -44x = 10 + -62 Combine like terms: 62 + -62 = 0 0 + -44x = 10 + -62 -44x = 10 + -62 Combine like terms: 10 + -62 = -52 -44x = -52 Divide each side by '-44'. x = 1.181818182 Simplifying x = 1.181818182
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