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Simplifying 6x + 84 = 13x + -14 Reorder the terms: 84 + 6x = 13x + -14 Reorder the terms: 84 + 6x = -14 + 13x Solving 84 + 6x = -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. 84 + 6x + -13x = -14 + 13x + -13x Combine like terms: 6x + -13x = -7x 84 + -7x = -14 + 13x + -13x Combine like terms: 13x + -13x = 0 84 + -7x = -14 + 0 84 + -7x = -14 Add '-84' to each side of the equation. 84 + -84 + -7x = -14 + -84 Combine like terms: 84 + -84 = 0 0 + -7x = -14 + -84 -7x = -14 + -84 Combine like terms: -14 + -84 = -98 -7x = -98 Divide each side by '-7'. x = 14 Simplifying x = 14
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