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Simplifying 5x + 74 = 8x + -10 Reorder the terms: 74 + 5x = 8x + -10 Reorder the terms: 74 + 5x = -10 + 8x Solving 74 + 5x = -10 + 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. 74 + 5x + -8x = -10 + 8x + -8x Combine like terms: 5x + -8x = -3x 74 + -3x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 74 + -3x = -10 + 0 74 + -3x = -10 Add '-74' to each side of the equation. 74 + -74 + -3x = -10 + -74 Combine like terms: 74 + -74 = 0 0 + -3x = -10 + -74 -3x = -10 + -74 Combine like terms: -10 + -74 = -84 -3x = -84 Divide each side by '-3'. x = 28 Simplifying x = 28
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