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Simplifying 46 = 5(x + -2) + 3x Reorder the terms: 46 = 5(-2 + x) + 3x 46 = (-2 * 5 + x * 5) + 3x 46 = (-10 + 5x) + 3x Combine like terms: 5x + 3x = 8x 46 = -10 + 8x Solving 46 = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 46 + -8x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 46 + -8x = -10 + 0 46 + -8x = -10 Add '-46' to each side of the equation. 46 + -46 + -8x = -10 + -46 Combine like terms: 46 + -46 = 0 0 + -8x = -10 + -46 -8x = -10 + -46 Combine like terms: -10 + -46 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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