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Simplifying 2(5x + 1) = -3(4x + -1) Reorder the terms: 2(1 + 5x) = -3(4x + -1) (1 * 2 + 5x * 2) = -3(4x + -1) (2 + 10x) = -3(4x + -1) Reorder the terms: 2 + 10x = -3(-1 + 4x) 2 + 10x = (-1 * -3 + 4x * -3) 2 + 10x = (3 + -12x) Solving 2 + 10x = 3 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 2 + 10x + 12x = 3 + -12x + 12x Combine like terms: 10x + 12x = 22x 2 + 22x = 3 + -12x + 12x Combine like terms: -12x + 12x = 0 2 + 22x = 3 + 0 2 + 22x = 3 Add '-2' to each side of the equation. 2 + -2 + 22x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 22x = 3 + -2 22x = 3 + -2 Combine like terms: 3 + -2 = 1 22x = 1 Divide each side by '22'. x = 0.04545454545 Simplifying x = 0.04545454545
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