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Simplifying 46 + -3x = 3(x + 6) + 8x Reorder the terms: 46 + -3x = 3(6 + x) + 8x 46 + -3x = (6 * 3 + x * 3) + 8x 46 + -3x = (18 + 3x) + 8x Combine like terms: 3x + 8x = 11x 46 + -3x = 18 + 11x Solving 46 + -3x = 18 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 46 + -3x + -11x = 18 + 11x + -11x Combine like terms: -3x + -11x = -14x 46 + -14x = 18 + 11x + -11x Combine like terms: 11x + -11x = 0 46 + -14x = 18 + 0 46 + -14x = 18 Add '-46' to each side of the equation. 46 + -46 + -14x = 18 + -46 Combine like terms: 46 + -46 = 0 0 + -14x = 18 + -46 -14x = 18 + -46 Combine like terms: 18 + -46 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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