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Simplifying 5x + 218 = 13x + -14 Reorder the terms: 218 + 5x = 13x + -14 Reorder the terms: 218 + 5x = -14 + 13x Solving 218 + 5x = -14 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 218 + 5x + -13x = -14 + 13x + -13x Combine like terms: 5x + -13x = -8x 218 + -8x = -14 + 13x + -13x Combine like terms: 13x + -13x = 0 218 + -8x = -14 + 0 218 + -8x = -14 Add '-218' to each side of the equation. 218 + -218 + -8x = -14 + -218 Combine like terms: 218 + -218 = 0 0 + -8x = -14 + -218 -8x = -14 + -218 Combine like terms: -14 + -218 = -232 -8x = -232 Divide each side by '-8'. x = 29 Simplifying x = 29
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