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Simplifying 46 + 3x = 5x + -10 + -4x Reorder the terms: 46 + 3x = -10 + 5x + -4x Combine like terms: 5x + -4x = 1x 46 + 3x = -10 + 1x Solving 46 + 3x = -10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 46 + 3x + -1x = -10 + 1x + -1x Combine like terms: 3x + -1x = 2x 46 + 2x = -10 + 1x + -1x Combine like terms: 1x + -1x = 0 46 + 2x = -10 + 0 46 + 2x = -10 Add '-46' to each side of the equation. 46 + -46 + 2x = -10 + -46 Combine like terms: 46 + -46 = 0 0 + 2x = -10 + -46 2x = -10 + -46 Combine like terms: -10 + -46 = -56 2x = -56 Divide each side by '2'. x = -28 Simplifying x = -28
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