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Simplifying 3x + 11 + -7x + -14 = 5 + 2x + 4x + 2 Reorder the terms: 11 + -14 + 3x + -7x = 5 + 2x + 4x + 2 Combine like terms: 11 + -14 = -3 -3 + 3x + -7x = 5 + 2x + 4x + 2 Combine like terms: 3x + -7x = -4x -3 + -4x = 5 + 2x + 4x + 2 Reorder the terms: -3 + -4x = 5 + 2 + 2x + 4x Combine like terms: 5 + 2 = 7 -3 + -4x = 7 + 2x + 4x Combine like terms: 2x + 4x = 6x -3 + -4x = 7 + 6x Solving -3 + -4x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + -4x + -6x = 7 + 6x + -6x Combine like terms: -4x + -6x = -10x -3 + -10x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -10x = 7 + 0 -3 + -10x = 7 Add '3' to each side of the equation. -3 + 3 + -10x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 7 + 3 -10x = 7 + 3 Combine like terms: 7 + 3 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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