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Simplifying 8x + 10 + 2x + 42 = 3x + 24 Reorder the terms: 10 + 42 + 8x + 2x = 3x + 24 Combine like terms: 10 + 42 = 52 52 + 8x + 2x = 3x + 24 Combine like terms: 8x + 2x = 10x 52 + 10x = 3x + 24 Reorder the terms: 52 + 10x = 24 + 3x Solving 52 + 10x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 52 + 10x + -3x = 24 + 3x + -3x Combine like terms: 10x + -3x = 7x 52 + 7x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 52 + 7x = 24 + 0 52 + 7x = 24 Add '-52' to each side of the equation. 52 + -52 + 7x = 24 + -52 Combine like terms: 52 + -52 = 0 0 + 7x = 24 + -52 7x = 24 + -52 Combine like terms: 24 + -52 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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