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Simplifying (4x + -6) + (4x + -6) + 108 + (3(x + -1.0)) + (3(x + -1.0)) = 540 Reorder the terms: (-6 + 4x) + (4x + -6) + 108 + (3(x + -1.0)) + (3(x + -1.0)) = 540 Remove parenthesis around (-6 + 4x) -6 + 4x + (4x + -6) + 108 + (3(x + -1.0)) + (3(x + -1.0)) = 540 Reorder the terms: -6 + 4x + (-6 + 4x) + 108 + (3(x + -1.0)) + (3(x + -1.0)) = 540 Remove parenthesis around (-6 + 4x) -6 + 4x + -6 + 4x + 108 + (3(x + -1.0)) + (3(x + -1.0)) = 540 Reorder the terms: -6 + 4x + -6 + 4x + 108 + (3(-1.0 + x)) + (3(x + -1.0)) = 540 -6 + 4x + -6 + 4x + 108 + ((-1.0 * 3 + x * 3)) + (3(x + -1.0)) = 540 -6 + 4x + -6 + 4x + 108 + ((-3 + 3x)) + (3(x + -1.0)) = 540 -6 + 4x + -6 + 4x + 108 + (-3 + 3x) + (3(x + -1.0)) = 540 Remove parenthesis around (-3 + 3x) -6 + 4x + -6 + 4x + 108 + -3 + 3x + (3(x + -1.0)) = 540 Reorder the terms: -6 + 4x + -6 + 4x + 108 + -3 + 3x + (3(-1.0 + x)) = 540 -6 + 4x + -6 + 4x + 108 + -3 + 3x + ((-1.0 * 3 + x * 3)) = 540 -6 + 4x + -6 + 4x + 108 + -3 + 3x + ((-3 + 3x)) = 540 -6 + 4x + -6 + 4x + 108 + -3 + 3x + (-3 + 3x) = 540 Remove parenthesis around (-3 + 3x) -6 + 4x + -6 + 4x + 108 + -3 + 3x + -3 + 3x = 540 Reorder the terms: -6 + -6 + 108 + -3 + -3 + 4x + 4x + 3x + 3x = 540 Combine like terms: -6 + -6 = -12 -12 + 108 + -3 + -3 + 4x + 4x + 3x + 3x = 540 Combine like terms: -12 + 108 = 96 96 + -3 + -3 + 4x + 4x + 3x + 3x = 540 Combine like terms: 96 + -3 = 93 93 + -3 + 4x + 4x + 3x + 3x = 540 Combine like terms: 93 + -3 = 90 90 + 4x + 4x + 3x + 3x = 540 Combine like terms: 4x + 4x = 8x 90 + 8x + 3x + 3x = 540 Combine like terms: 8x + 3x = 11x 90 + 11x + 3x = 540 Combine like terms: 11x + 3x = 14x 90 + 14x = 540 Solving 90 + 14x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 14x = 540 + -90 Combine like terms: 90 + -90 = 0 0 + 14x = 540 + -90 14x = 540 + -90 Combine like terms: 540 + -90 = 450 14x = 450 Divide each side by '14'. x = 32.14285714 Simplifying x = 32.14285714
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