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Simplifying 24 + 5x + -2x = -7x + 4x + -54 Combine like terms: 5x + -2x = 3x 24 + 3x = -7x + 4x + -54 Reorder the terms: 24 + 3x = -54 + -7x + 4x Combine like terms: -7x + 4x = -3x 24 + 3x = -54 + -3x Solving 24 + 3x = -54 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 24 + 3x + 3x = -54 + -3x + 3x Combine like terms: 3x + 3x = 6x 24 + 6x = -54 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 6x = -54 + 0 24 + 6x = -54 Add '-24' to each side of the equation. 24 + -24 + 6x = -54 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = -54 + -24 6x = -54 + -24 Combine like terms: -54 + -24 = -78 6x = -78 Divide each side by '6'. x = -13 Simplifying x = -13
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