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Simplifying 4x + 46 = 7x + 13 Reorder the terms: 46 + 4x = 7x + 13 Reorder the terms: 46 + 4x = 13 + 7x Solving 46 + 4x = 13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 46 + 4x + -7x = 13 + 7x + -7x Combine like terms: 4x + -7x = -3x 46 + -3x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 46 + -3x = 13 + 0 46 + -3x = 13 Add '-46' to each side of the equation. 46 + -46 + -3x = 13 + -46 Combine like terms: 46 + -46 = 0 0 + -3x = 13 + -46 -3x = 13 + -46 Combine like terms: 13 + -46 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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