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Simplifying 46 + -3x = 15x + 22 Reorder the terms: 46 + -3x = 22 + 15x Solving 46 + -3x = 22 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 46 + -3x + -15x = 22 + 15x + -15x Combine like terms: -3x + -15x = -18x 46 + -18x = 22 + 15x + -15x Combine like terms: 15x + -15x = 0 46 + -18x = 22 + 0 46 + -18x = 22 Add '-46' to each side of the equation. 46 + -46 + -18x = 22 + -46 Combine like terms: 46 + -46 = 0 0 + -18x = 22 + -46 -18x = 22 + -46 Combine like terms: 22 + -46 = -24 -18x = -24 Divide each side by '-18'. x = 1.333333333 Simplifying x = 1.333333333
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