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Simplifying 8 + -6(4x + -9) = -4(5x + -4) + 14 Reorder the terms: 8 + -6(-9 + 4x) = -4(5x + -4) + 14 8 + (-9 * -6 + 4x * -6) = -4(5x + -4) + 14 8 + (54 + -24x) = -4(5x + -4) + 14 Combine like terms: 8 + 54 = 62 62 + -24x = -4(5x + -4) + 14 Reorder the terms: 62 + -24x = -4(-4 + 5x) + 14 62 + -24x = (-4 * -4 + 5x * -4) + 14 62 + -24x = (16 + -20x) + 14 Reorder the terms: 62 + -24x = 16 + 14 + -20x Combine like terms: 16 + 14 = 30 62 + -24x = 30 + -20x Solving 62 + -24x = 30 + -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 = 30 + -20x + 20x Combine like terms: -24x + 20x = -4x 62 + -4x = 30 + -20x + 20x Combine like terms: -20x + 20x = 0 62 + -4x = 30 + 0 62 + -4x = 30 Add '-62' to each side of the equation. 62 + -62 + -4x = 30 + -62 Combine like terms: 62 + -62 = 0 0 + -4x = 30 + -62 -4x = 30 + -62 Combine like terms: 30 + -62 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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