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Simplifying 46 + -3x = 3(x + 6) Reorder the terms: 46 + -3x = 3(6 + x) 46 + -3x = (6 * 3 + x * 3) 46 + -3x = (18 + 3x) Solving 46 + -3x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 46 + -3x + -3x = 18 + 3x + -3x Combine like terms: -3x + -3x = -6x 46 + -6x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 46 + -6x = 18 + 0 46 + -6x = 18 Add '-46' to each side of the equation. 46 + -46 + -6x = 18 + -46 Combine like terms: 46 + -46 = 0 0 + -6x = 18 + -46 -6x = 18 + -46 Combine like terms: 18 + -46 = -28 -6x = -28 Divide each side by '-6'. x = 4.666666667 Simplifying x = 4.666666667
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