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Simplifying 3x + 4 + 5x + 6 = 2x + 46 Reorder the terms: 4 + 6 + 3x + 5x = 2x + 46 Combine like terms: 4 + 6 = 10 10 + 3x + 5x = 2x + 46 Combine like terms: 3x + 5x = 8x 10 + 8x = 2x + 46 Reorder the terms: 10 + 8x = 46 + 2x Solving 10 + 8x = 46 + 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. 10 + 8x + -2x = 46 + 2x + -2x Combine like terms: 8x + -2x = 6x 10 + 6x = 46 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 6x = 46 + 0 10 + 6x = 46 Add '-10' to each side of the equation. 10 + -10 + 6x = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 46 + -10 6x = 46 + -10 Combine like terms: 46 + -10 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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