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Simplifying x * 5 + 84 = x * 8 + -6 Reorder the terms for easier multiplication: 5x + 84 = x * 8 + -6 Reorder the terms: 84 + 5x = x * 8 + -6 Reorder the terms for easier multiplication: 84 + 5x = 8x + -6 Reorder the terms: 84 + 5x = -6 + 8x Solving 84 + 5x = -6 + 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 = -6 + 8x + -8x Combine like terms: 5x + -8x = -3x 84 + -3x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 84 + -3x = -6 + 0 84 + -3x = -6 Add '-84' to each side of the equation. 84 + -84 + -3x = -6 + -84 Combine like terms: 84 + -84 = 0 0 + -3x = -6 + -84 -3x = -6 + -84 Combine like terms: -6 + -84 = -90 -3x = -90 Divide each side by '-3'. x = 30 Simplifying x = 30
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