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Simplifying 3 + 8(5x + -2) = 2x + -1(7x + -4) Reorder the terms: 3 + 8(-2 + 5x) = 2x + -1(7x + -4) 3 + (-2 * 8 + 5x * 8) = 2x + -1(7x + -4) 3 + (-16 + 40x) = 2x + -1(7x + -4) Combine like terms: 3 + -16 = -13 -13 + 40x = 2x + -1(7x + -4) Reorder the terms: -13 + 40x = 2x + -1(-4 + 7x) -13 + 40x = 2x + (-4 * -1 + 7x * -1) -13 + 40x = 2x + (4 + -7x) Reorder the terms: -13 + 40x = 4 + 2x + -7x Combine like terms: 2x + -7x = -5x -13 + 40x = 4 + -5x Solving -13 + 40x = 4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -13 + 40x + 5x = 4 + -5x + 5x Combine like terms: 40x + 5x = 45x -13 + 45x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 -13 + 45x = 4 + 0 -13 + 45x = 4 Add '13' to each side of the equation. -13 + 13 + 45x = 4 + 13 Combine like terms: -13 + 13 = 0 0 + 45x = 4 + 13 45x = 4 + 13 Combine like terms: 4 + 13 = 17 45x = 17 Divide each side by '45'. x = 0.3777777778 Simplifying x = 0.3777777778
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