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Simplifying -78 + -10x = 7x + 24 Reorder the terms: -78 + -10x = 24 + 7x Solving -78 + -10x = 24 + 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. -78 + -10x + -7x = 24 + 7x + -7x Combine like terms: -10x + -7x = -17x -78 + -17x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 -78 + -17x = 24 + 0 -78 + -17x = 24 Add '78' to each side of the equation. -78 + 78 + -17x = 24 + 78 Combine like terms: -78 + 78 = 0 0 + -17x = 24 + 78 -17x = 24 + 78 Combine like terms: 24 + 78 = 102 -17x = 102 Divide each side by '-17'. x = -6 Simplifying x = -6
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