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Simplifying 5(3x + -4 + -1(x + 5)) + -1(x + 5x) + -7 = (x + -5) + 8 Reorder the terms: 5(3x + -4 + -1(5 + x)) + -1(x + 5x) + -7 = (x + -5) + 8 5(3x + -4 + (5 * -1 + x * -1)) + -1(x + 5x) + -7 = (x + -5) + 8 5(3x + -4 + (-5 + -1x)) + -1(x + 5x) + -7 = (x + -5) + 8 Reorder the terms: 5(-4 + -5 + 3x + -1x) + -1(x + 5x) + -7 = (x + -5) + 8 Combine like terms: -4 + -5 = -9 5(-9 + 3x + -1x) + -1(x + 5x) + -7 = (x + -5) + 8 Combine like terms: 3x + -1x = 2x 5(-9 + 2x) + -1(x + 5x) + -7 = (x + -5) + 8 (-9 * 5 + 2x * 5) + -1(x + 5x) + -7 = (x + -5) + 8 (-45 + 10x) + -1(x + 5x) + -7 = (x + -5) + 8 Combine like terms: x + 5x = 6x -45 + 10x + -1(6x) + -7 = (x + -5) + 8 Remove parenthesis around (6x) -45 + 10x + -1 * 6x + -7 = (x + -5) + 8 Multiply -1 * 6 -45 + 10x + -6x + -7 = (x + -5) + 8 Reorder the terms: -45 + -7 + 10x + -6x = (x + -5) + 8 Combine like terms: -45 + -7 = -52 -52 + 10x + -6x = (x + -5) + 8 Combine like terms: 10x + -6x = 4x -52 + 4x = (x + -5) + 8 Reorder the terms: -52 + 4x = (-5 + x) + 8 Remove parenthesis around (-5 + x) -52 + 4x = -5 + x + 8 Reorder the terms: -52 + 4x = -5 + 8 + x Combine like terms: -5 + 8 = 3 -52 + 4x = 3 + x Solving -52 + 4x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -52 + 4x + -1x = 3 + x + -1x Combine like terms: 4x + -1x = 3x -52 + 3x = 3 + x + -1x Combine like terms: x + -1x = 0 -52 + 3x = 3 + 0 -52 + 3x = 3 Add '52' to each side of the equation. -52 + 52 + 3x = 3 + 52 Combine like terms: -52 + 52 = 0 0 + 3x = 3 + 52 3x = 3 + 52 Combine like terms: 3 + 52 = 55 3x = 55 Divide each side by '3'. x = 18.33333333 Simplifying x = 18.33333333
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