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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 = -77 -22x = -77 Divide each side by '-22'. x = 3.5 Simplifying x = 3.5
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