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Simplifying 7x + 61 = 10x + 46 Reorder the terms: 61 + 7x = 10x + 46 Reorder the terms: 61 + 7x = 46 + 10x Solving 61 + 7x = 46 + 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. 61 + 7x + -10x = 46 + 10x + -10x Combine like terms: 7x + -10x = -3x 61 + -3x = 46 + 10x + -10x Combine like terms: 10x + -10x = 0 61 + -3x = 46 + 0 61 + -3x = 46 Add '-61' to each side of the equation. 61 + -61 + -3x = 46 + -61 Combine like terms: 61 + -61 = 0 0 + -3x = 46 + -61 -3x = 46 + -61 Combine like terms: 46 + -61 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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