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Simplifying 4x + 24 = 14x + -54 Reorder the terms: 24 + 4x = 14x + -54 Reorder the terms: 24 + 4x = -54 + 14x Solving 24 + 4x = -54 + 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. 24 + 4x + -14x = -54 + 14x + -14x Combine like terms: 4x + -14x = -10x 24 + -10x = -54 + 14x + -14x Combine like terms: 14x + -14x = 0 24 + -10x = -54 + 0 24 + -10x = -54 Add '-24' to each side of the equation. 24 + -24 + -10x = -54 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = -54 + -24 -10x = -54 + -24 Combine like terms: -54 + -24 = -78 -10x = -78 Divide each side by '-10'. x = 7.8 Simplifying x = 7.8
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