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Simplifying 4(5x + 2) + -8(x + -6) = 62 Reorder the terms: 4(2 + 5x) + -8(x + -6) = 62 (2 * 4 + 5x * 4) + -8(x + -6) = 62 (8 + 20x) + -8(x + -6) = 62 Reorder the terms: 8 + 20x + -8(-6 + x) = 62 8 + 20x + (-6 * -8 + x * -8) = 62 8 + 20x + (48 + -8x) = 62 Reorder the terms: 8 + 48 + 20x + -8x = 62 Combine like terms: 8 + 48 = 56 56 + 20x + -8x = 62 Combine like terms: 20x + -8x = 12x 56 + 12x = 62 Solving 56 + 12x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 12x = 62 + -56 Combine like terms: 56 + -56 = 0 0 + 12x = 62 + -56 12x = 62 + -56 Combine like terms: 62 + -56 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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