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Simplifying 3x + -10 + 5x + 40 = 4x + 50 Reorder the terms: -10 + 40 + 3x + 5x = 4x + 50 Combine like terms: -10 + 40 = 30 30 + 3x + 5x = 4x + 50 Combine like terms: 3x + 5x = 8x 30 + 8x = 4x + 50 Reorder the terms: 30 + 8x = 50 + 4x Solving 30 + 8x = 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. 30 + 8x + -4x = 50 + 4x + -4x Combine like terms: 8x + -4x = 4x 30 + 4x = 50 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + 4x = 50 + 0 30 + 4x = 50 Add '-30' to each side of the equation. 30 + -30 + 4x = 50 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 50 + -30 4x = 50 + -30 Combine like terms: 50 + -30 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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