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Simplifying 4x + 6x + 4 = 7x + 5 + 2x Reorder the terms: 4 + 4x + 6x = 7x + 5 + 2x Combine like terms: 4x + 6x = 10x 4 + 10x = 7x + 5 + 2x Reorder the terms: 4 + 10x = 5 + 7x + 2x Combine like terms: 7x + 2x = 9x 4 + 10x = 5 + 9x Solving 4 + 10x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 10x + -9x = 5 + 9x + -9x Combine like terms: 10x + -9x = 1x 4 + 1x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + 1x = 5 + 0 4 + 1x = 5 Add '-4' to each side of the equation. 4 + -4 + 1x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 5 + -4 1x = 5 + -4 Combine like terms: 5 + -4 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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