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Simplifying 8x + 44x + -3 = 46x + 4 + -4 Reorder the terms: -3 + 8x + 44x = 46x + 4 + -4 Combine like terms: 8x + 44x = 52x -3 + 52x = 46x + 4 + -4 Reorder the terms: -3 + 52x = 4 + -4 + 46x Combine like terms: 4 + -4 = 0 -3 + 52x = 0 + 46x -3 + 52x = 46x Solving -3 + 52x = 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. -3 + 52x + -46x = 46x + -46x Combine like terms: 52x + -46x = 6x -3 + 6x = 46x + -46x Combine like terms: 46x + -46x = 0 -3 + 6x = 0 Add '3' to each side of the equation. -3 + 3 + 6x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 0 + 3 6x = 0 + 3 Combine like terms: 0 + 3 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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