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Simplifying 6x + 13 = 14x + -33 Reorder the terms: 13 + 6x = 14x + -33 Reorder the terms: 13 + 6x = -33 + 14x Solving 13 + 6x = -33 + 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. 13 + 6x + -14x = -33 + 14x + -14x Combine like terms: 6x + -14x = -8x 13 + -8x = -33 + 14x + -14x Combine like terms: 14x + -14x = 0 13 + -8x = -33 + 0 13 + -8x = -33 Add '-13' to each side of the equation. 13 + -13 + -8x = -33 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = -33 + -13 -8x = -33 + -13 Combine like terms: -33 + -13 = -46 -8x = -46 Divide each side by '-8'. x = 5.75 Simplifying x = 5.75
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