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Simplifying 46 = -2x + 3 + -5(x + -3) Reorder the terms: 46 = -2x + 3 + -5(-3 + x) 46 = -2x + 3 + (-3 * -5 + x * -5) 46 = -2x + 3 + (15 + -5x) Reorder the terms: 46 = 3 + 15 + -2x + -5x Combine like terms: 3 + 15 = 18 46 = 18 + -2x + -5x Combine like terms: -2x + -5x = -7x 46 = 18 + -7x Solving 46 = 18 + -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 + 7x = 18 + -7x + 7x Combine like terms: -7x + 7x = 0 46 + 7x = 18 + 0 46 + 7x = 18 Add '-46' to each side of the equation. 46 + -46 + 7x = 18 + -46 Combine like terms: 46 + -46 = 0 0 + 7x = 18 + -46 7x = 18 + -46 Combine like terms: 18 + -46 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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