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Simplifying 3(6x + 1) = 8(5x + -10) Reorder the terms: 3(1 + 6x) = 8(5x + -10) (1 * 3 + 6x * 3) = 8(5x + -10) (3 + 18x) = 8(5x + -10) Reorder the terms: 3 + 18x = 8(-10 + 5x) 3 + 18x = (-10 * 8 + 5x * 8) 3 + 18x = (-80 + 40x) Solving 3 + 18x = -80 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 3 + 18x + -40x = -80 + 40x + -40x Combine like terms: 18x + -40x = -22x 3 + -22x = -80 + 40x + -40x Combine like terms: 40x + -40x = 0 3 + -22x = -80 + 0 3 + -22x = -80 Add '-3' to each side of the equation. 3 + -3 + -22x = -80 + -3 Combine like terms: 3 + -3 = 0 0 + -22x = -80 + -3 -22x = -80 + -3 Combine like terms: -80 + -3 = -83 -22x = -83 Divide each side by '-22'. x = 3.772727273 Simplifying x = 3.772727273
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