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Simplifying 5x + -7x + 46 = 4x + 28 Reorder the terms: 46 + 5x + -7x = 4x + 28 Combine like terms: 5x + -7x = -2x 46 + -2x = 4x + 28 Reorder the terms: 46 + -2x = 28 + 4x Solving 46 + -2x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 46 + -2x + -4x = 28 + 4x + -4x Combine like terms: -2x + -4x = -6x 46 + -6x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 46 + -6x = 28 + 0 46 + -6x = 28 Add '-46' to each side of the equation. 46 + -46 + -6x = 28 + -46 Combine like terms: 46 + -46 = 0 0 + -6x = 28 + -46 -6x = 28 + -46 Combine like terms: 28 + -46 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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