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Simplifying 6x + 33 = 14x + -7 Reorder the terms: 33 + 6x = 14x + -7 Reorder the terms: 33 + 6x = -7 + 14x Solving 33 + 6x = -7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 33 + 6x + -14x = -7 + 14x + -14x Combine like terms: 6x + -14x = -8x 33 + -8x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 33 + -8x = -7 + 0 33 + -8x = -7 Add '-33' to each side of the equation. 33 + -33 + -8x = -7 + -33 Combine like terms: 33 + -33 = 0 0 + -8x = -7 + -33 -8x = -7 + -33 Combine like terms: -7 + -33 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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