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Simplifying 6x + 33 = 2x + 13 Reorder the terms: 33 + 6x = 2x + 13 Reorder the terms: 33 + 6x = 13 + 2x Solving 33 + 6x = 13 + 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. 33 + 6x + -2x = 13 + 2x + -2x Combine like terms: 6x + -2x = 4x 33 + 4x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 33 + 4x = 13 + 0 33 + 4x = 13 Add '-33' to each side of the equation. 33 + -33 + 4x = 13 + -33 Combine like terms: 33 + -33 = 0 0 + 4x = 13 + -33 4x = 13 + -33 Combine like terms: 13 + -33 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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