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Simplifying -10x + 24 = 6x + -27 + x Reorder the terms: 24 + -10x = 6x + -27 + x Reorder the terms: 24 + -10x = -27 + 6x + x Combine like terms: 6x + x = 7x 24 + -10x = -27 + 7x Solving 24 + -10x = -27 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 24 + -10x + -7x = -27 + 7x + -7x Combine like terms: -10x + -7x = -17x 24 + -17x = -27 + 7x + -7x Combine like terms: 7x + -7x = 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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