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Simplifying 8x + -3x + 84 = 8x + 42 Reorder the terms: 84 + 8x + -3x = 8x + 42 Combine like terms: 8x + -3x = 5x 84 + 5x = 8x + 42 Reorder the terms: 84 + 5x = 42 + 8x Solving 84 + 5x = 42 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 84 + 5x + -8x = 42 + 8x + -8x Combine like terms: 5x + -8x = -3x 84 + -3x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 84 + -3x = 42 + 0 84 + -3x = 42 Add '-84' to each side of the equation. 84 + -84 + -3x = 42 + -84 Combine like terms: 84 + -84 = 0 0 + -3x = 42 + -84 -3x = 42 + -84 Combine like terms: 42 + -84 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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