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Simplifying 3x + -5 + -7x + 4 = 20 + 2x + -9 Reorder the terms: -5 + 4 + 3x + -7x = 20 + 2x + -9 Combine like terms: -5 + 4 = -1 -1 + 3x + -7x = 20 + 2x + -9 Combine like terms: 3x + -7x = -4x -1 + -4x = 20 + 2x + -9 Reorder the terms: -1 + -4x = 20 + -9 + 2x Combine like terms: 20 + -9 = 11 -1 + -4x = 11 + 2x Solving -1 + -4x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + -4x + -2x = 11 + 2x + -2x Combine like terms: -4x + -2x = -6x -1 + -6x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -6x = 11 + 0 -1 + -6x = 11 Add '1' to each side of the equation. -1 + 1 + -6x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 11 + 1 -6x = 11 + 1 Combine like terms: 11 + 1 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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