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Simplifying 3(4x + -1) + 5(x + -4) = 2 Reorder the terms: 3(-1 + 4x) + 5(x + -4) = 2 (-1 * 3 + 4x * 3) + 5(x + -4) = 2 (-3 + 12x) + 5(x + -4) = 2 Reorder the terms: -3 + 12x + 5(-4 + x) = 2 -3 + 12x + (-4 * 5 + x * 5) = 2 -3 + 12x + (-20 + 5x) = 2 Reorder the terms: -3 + -20 + 12x + 5x = 2 Combine like terms: -3 + -20 = -23 -23 + 12x + 5x = 2 Combine like terms: 12x + 5x = 17x -23 + 17x = 2 Solving -23 + 17x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 17x = 2 + 23 Combine like terms: -23 + 23 = 0 0 + 17x = 2 + 23 17x = 2 + 23 Combine like terms: 2 + 23 = 25 17x = 25 Divide each side by '17'. x = 1.470588235 Simplifying x = 1.470588235
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