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Simplifying 6x + 24 = 15x + -54 Reorder the terms: 24 + 6x = 15x + -54 Reorder the terms: 24 + 6x = -54 + 15x Solving 24 + 6x = -54 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 24 + 6x + -15x = -54 + 15x + -15x Combine like terms: 6x + -15x = -9x 24 + -9x = -54 + 15x + -15x Combine like terms: 15x + -15x = 0 24 + -9x = -54 + 0 24 + -9x = -54 Add '-24' to each side of the equation. 24 + -24 + -9x = -54 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = -54 + -24 -9x = -54 + -24 Combine like terms: -54 + -24 = -78 -9x = -78 Divide each side by '-9'. x = 8.666666667 Simplifying x = 8.666666667
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