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Simplifying 3(4x + -1) + -1(7 + -4x) = 40 Reorder the terms: 3(-1 + 4x) + -1(7 + -4x) = 40 (-1 * 3 + 4x * 3) + -1(7 + -4x) = 40 (-3 + 12x) + -1(7 + -4x) = 40 -3 + 12x + (7 * -1 + -4x * -1) = 40 -3 + 12x + (-7 + 4x) = 40 Reorder the terms: -3 + -7 + 12x + 4x = 40 Combine like terms: -3 + -7 = -10 -10 + 12x + 4x = 40 Combine like terms: 12x + 4x = 16x -10 + 16x = 40 Solving -10 + 16x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 16x = 40 + 10 Combine like terms: -10 + 10 = 0 0 + 16x = 40 + 10 16x = 40 + 10 Combine like terms: 40 + 10 = 50 16x = 50 Divide each side by '16'. x = 3.125 Simplifying x = 3.125
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