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Simplifying -7x + 24 = 10x + -27 Reorder the terms: 24 + -7x = 10x + -27 Reorder the terms: 24 + -7x = -27 + 10x Solving 24 + -7x = -27 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + -7x + -10x = -27 + 10x + -10x Combine like terms: -7x + -10x = -17x 24 + -17x = -27 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -17x = -27 + 0 24 + -17x = -27 Add '-24' to each side of the equation. 24 + -24 + -17x = -27 + -24 Combine like terms: 24 + -24 = 0 0 + -17x = -27 + -24 -17x = -27 + -24 Combine like terms: -27 + -24 = -51 -17x = -51 Divide each side by '-17'. x = 3 Simplifying x = 3
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