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Simplifying 6x + -13 = 4x + 33 Reorder the terms: -13 + 6x = 4x + 33 Reorder the terms: -13 + 6x = 33 + 4x Solving -13 + 6x = 33 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -13 + 6x + -4x = 33 + 4x + -4x Combine like terms: 6x + -4x = 2x -13 + 2x = 33 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + 2x = 33 + 0 -13 + 2x = 33 Add '13' to each side of the equation. -13 + 13 + 2x = 33 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 33 + 13 2x = 33 + 13 Combine like terms: 33 + 13 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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