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Simplifying 4x + 13 = 14x + -78 Reorder the terms: 13 + 4x = 14x + -78 Reorder the terms: 13 + 4x = -78 + 14x Solving 13 + 4x = -78 + 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 + 4x + -14x = -78 + 14x + -14x Combine like terms: 4x + -14x = -10x 13 + -10x = -78 + 14x + -14x Combine like terms: 14x + -14x = 0 13 + -10x = -78 + 0 13 + -10x = -78 Add '-13' to each side of the equation. 13 + -13 + -10x = -78 + -13 Combine like terms: 13 + -13 = 0 0 + -10x = -78 + -13 -10x = -78 + -13 Combine like terms: -78 + -13 = -91 -10x = -91 Divide each side by '-10'. x = 9.1 Simplifying x = 9.1
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