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Simplifying 2x + 30 + 4x = 7x + 10 + -5x Reorder the terms: 30 + 2x + 4x = 7x + 10 + -5x Combine like terms: 2x + 4x = 6x 30 + 6x = 7x + 10 + -5x Reorder the terms: 30 + 6x = 10 + 7x + -5x Combine like terms: 7x + -5x = 2x 30 + 6x = 10 + 2x Solving 30 + 6x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + 6x + -2x = 10 + 2x + -2x Combine like terms: 6x + -2x = 4x 30 + 4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 4x = 10 + 0 30 + 4x = 10 Add '-30' to each side of the equation. 30 + -30 + 4x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 10 + -30 4x = 10 + -30 Combine like terms: 10 + -30 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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