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Simplifying 6x + -8x + 24 = 7x + 42 Reorder the terms: 24 + 6x + -8x = 7x + 42 Combine like terms: 6x + -8x = -2x 24 + -2x = 7x + 42 Reorder the terms: 24 + -2x = 42 + 7x Solving 24 + -2x = 42 + 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 + -2x + -7x = 42 + 7x + -7x Combine like terms: -2x + -7x = -9x 24 + -9x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + -9x = 42 + 0 24 + -9x = 42 Add '-24' to each side of the equation. 24 + -24 + -9x = 42 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = 42 + -24 -9x = 42 + -24 Combine like terms: 42 + -24 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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