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Simplifying 5x + -2 + x + 50 = 8x + 50 + -4x Reorder the terms: -2 + 50 + 5x + x = 8x + 50 + -4x Combine like terms: -2 + 50 = 48 48 + 5x + x = 8x + 50 + -4x Combine like terms: 5x + x = 6x 48 + 6x = 8x + 50 + -4x Reorder the terms: 48 + 6x = 50 + 8x + -4x Combine like terms: 8x + -4x = 4x 48 + 6x = 50 + 4x Solving 48 + 6x = 50 + 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. 48 + 6x + -4x = 50 + 4x + -4x Combine like terms: 6x + -4x = 2x 48 + 2x = 50 + 4x + -4x Combine like terms: 4x + -4x = 0 48 + 2x = 50 + 0 48 + 2x = 50 Add '-48' to each side of the equation. 48 + -48 + 2x = 50 + -48 Combine like terms: 48 + -48 = 0 0 + 2x = 50 + -48 2x = 50 + -48 Combine like terms: 50 + -48 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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