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Simplifying 2(3x + 4) + -2x + -5 + -7x = 20 Reorder the terms: 2(4 + 3x) + -2x + -5 + -7x = 20 (4 * 2 + 3x * 2) + -2x + -5 + -7x = 20 (8 + 6x) + -2x + -5 + -7x = 20 Reorder the terms: 8 + -5 + 6x + -2x + -7x = 20 Combine like terms: 8 + -5 = 3 3 + 6x + -2x + -7x = 20 Combine like terms: 6x + -2x = 4x 3 + 4x + -7x = 20 Combine like terms: 4x + -7x = -3x 3 + -3x = 20 Solving 3 + -3x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -3x = 20 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 20 + -3 -3x = 20 + -3 Combine like terms: 20 + -3 = 17 -3x = 17 Divide each side by '-3'. x = -5.666666667 Simplifying x = -5.666666667
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