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Simplifying 9x + 14 = 13x + -10 Reorder the terms: 14 + 9x = 13x + -10 Reorder the terms: 14 + 9x = -10 + 13x Solving 14 + 9x = -10 + 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. 14 + 9x + -13x = -10 + 13x + -13x Combine like terms: 9x + -13x = -4x 14 + -4x = -10 + 13x + -13x Combine like terms: 13x + -13x = 0 14 + -4x = -10 + 0 14 + -4x = -10 Add '-14' to each side of the equation. 14 + -14 + -4x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = -10 + -14 -4x = -10 + -14 Combine like terms: -10 + -14 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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