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Simplifying 7(3x + -1) + -1(x + 5) = 52 Reorder the terms: 7(-1 + 3x) + -1(x + 5) = 52 (-1 * 7 + 3x * 7) + -1(x + 5) = 52 (-7 + 21x) + -1(x + 5) = 52 Reorder the terms: -7 + 21x + -1(5 + x) = 52 -7 + 21x + (5 * -1 + x * -1) = 52 -7 + 21x + (-5 + -1x) = 52 Reorder the terms: -7 + -5 + 21x + -1x = 52 Combine like terms: -7 + -5 = -12 -12 + 21x + -1x = 52 Combine like terms: 21x + -1x = 20x -12 + 20x = 52 Solving -12 + 20x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 20x = 52 + 12 Combine like terms: -12 + 12 = 0 0 + 20x = 52 + 12 20x = 52 + 12 Combine like terms: 52 + 12 = 64 20x = 64 Divide each side by '20'. x = 3.2 Simplifying x = 3.2
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