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Simplifying 4x + 23 = 14x + -77 Reorder the terms: 23 + 4x = 14x + -77 Reorder the terms: 23 + 4x = -77 + 14x Solving 23 + 4x = -77 + 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. 23 + 4x + -14x = -77 + 14x + -14x Combine like terms: 4x + -14x = -10x 23 + -10x = -77 + 14x + -14x Combine like terms: 14x + -14x = 0 23 + -10x = -77 + 0 23 + -10x = -77 Add '-23' to each side of the equation. 23 + -23 + -10x = -77 + -23 Combine like terms: 23 + -23 = 0 0 + -10x = -77 + -23 -10x = -77 + -23 Combine like terms: -77 + -23 = -100 -10x = -100 Divide each side by '-10'. x = 10 Simplifying x = 10
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