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Simplifying (x + -8) + (3x + -11) + (x + 8) + (2x + 7) + x = 540 Reorder the terms: (-8 + x) + (3x + -11) + (x + 8) + (2x + 7) + x = 540 Remove parenthesis around (-8 + x) -8 + x + (3x + -11) + (x + 8) + (2x + 7) + x = 540 Reorder the terms: -8 + x + (-11 + 3x) + (x + 8) + (2x + 7) + x = 540 Remove parenthesis around (-11 + 3x) -8 + x + -11 + 3x + (x + 8) + (2x + 7) + x = 540 Reorder the terms: -8 + x + -11 + 3x + (8 + x) + (2x + 7) + x = 540 Remove parenthesis around (8 + x) -8 + x + -11 + 3x + 8 + x + (2x + 7) + x = 540 Reorder the terms: -8 + x + -11 + 3x + 8 + x + (7 + 2x) + x = 540 Remove parenthesis around (7 + 2x) -8 + x + -11 + 3x + 8 + x + 7 + 2x + x = 540 Reorder the terms: -8 + -11 + 8 + 7 + x + 3x + x + 2x + x = 540 Combine like terms: -8 + -11 = -19 -19 + 8 + 7 + x + 3x + x + 2x + x = 540 Combine like terms: -19 + 8 = -11 -11 + 7 + x + 3x + x + 2x + x = 540 Combine like terms: -11 + 7 = -4 -4 + x + 3x + x + 2x + x = 540 Combine like terms: x + 3x = 4x -4 + 4x + x + 2x + x = 540 Combine like terms: 4x + x = 5x -4 + 5x + 2x + x = 540 Combine like terms: 5x + 2x = 7x -4 + 7x + x = 540 Combine like terms: 7x + x = 8x -4 + 8x = 540 Solving -4 + 8x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8x = 540 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 540 + 4 8x = 540 + 4 Combine like terms: 540 + 4 = 544 8x = 544 Divide each side by '8'. x = 68 Simplifying x = 68
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