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Simplifying 4x + 2 + 7x = 10x + 3 + 2 Reorder the terms: 2 + 4x + 7x = 10x + 3 + 2 Combine like terms: 4x + 7x = 11x 2 + 11x = 10x + 3 + 2 Reorder the terms: 2 + 11x = 3 + 2 + 10x Combine like terms: 3 + 2 = 5 2 + 11x = 5 + 10x Solving 2 + 11x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + 11x + -10x = 5 + 10x + -10x Combine like terms: 11x + -10x = 1x 2 + 1x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + 1x = 5 + 0 2 + 1x = 5 Add '-2' to each side of the equation. 2 + -2 + 1x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 5 + -2 1x = 5 + -2 Combine like terms: 5 + -2 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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