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Simplifying 7x + 74 = 10x + 5 Reorder the terms: 74 + 7x = 10x + 5 Reorder the terms: 74 + 7x = 5 + 10x Solving 74 + 7x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 74 + 7x + -10x = 5 + 10x + -10x Combine like terms: 7x + -10x = -3x 74 + -3x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 74 + -3x = 5 + 0 74 + -3x = 5 Add '-74' to each side of the equation. 74 + -74 + -3x = 5 + -74 Combine like terms: 74 + -74 = 0 0 + -3x = 5 + -74 -3x = 5 + -74 Combine like terms: 5 + -74 = -69 -3x = -69 Divide each side by '-3'. x = 23 Simplifying x = 23
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