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Simplifying 46 = 5x + 3(2x + -3) Reorder the terms: 46 = 5x + 3(-3 + 2x) 46 = 5x + (-3 * 3 + 2x * 3) 46 = 5x + (-9 + 6x) Reorder the terms: 46 = -9 + 5x + 6x Combine like terms: 5x + 6x = 11x 46 = -9 + 11x Solving 46 = -9 + 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 + -11x = -9 + 11x + -11x Combine like terms: 11x + -11x = 0 46 + -11x = -9 + 0 46 + -11x = -9 Add '-46' to each side of the equation. 46 + -46 + -11x = -9 + -46 Combine like terms: 46 + -46 = 0 0 + -11x = -9 + -46 -11x = -9 + -46 Combine like terms: -9 + -46 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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