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Simplifying 3x + -14 + -7x + 11 = 2x + 33 Reorder the terms: -14 + 11 + 3x + -7x = 2x + 33 Combine like terms: -14 + 11 = -3 -3 + 3x + -7x = 2x + 33 Combine like terms: 3x + -7x = -4x -3 + -4x = 2x + 33 Reorder the terms: -3 + -4x = 33 + 2x Solving -3 + -4x = 33 + 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. -3 + -4x + -2x = 33 + 2x + -2x Combine like terms: -4x + -2x = -6x -3 + -6x = 33 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -6x = 33 + 0 -3 + -6x = 33 Add '3' to each side of the equation. -3 + 3 + -6x = 33 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = 33 + 3 -6x = 33 + 3 Combine like terms: 33 + 3 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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