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Simplifying 2x + 3 + 2x + -7 = 2x + 2 + 8 Reorder the terms: 3 + -7 + 2x + 2x = 2x + 2 + 8 Combine like terms: 3 + -7 = -4 -4 + 2x + 2x = 2x + 2 + 8 Combine like terms: 2x + 2x = 4x -4 + 4x = 2x + 2 + 8 Reorder the terms: -4 + 4x = 2 + 8 + 2x Combine like terms: 2 + 8 = 10 -4 + 4x = 10 + 2x Solving -4 + 4x = 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. -4 + 4x + -2x = 10 + 2x + -2x Combine like terms: 4x + -2x = 2x -4 + 2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 2x = 10 + 0 -4 + 2x = 10 Add '4' to each side of the equation. -4 + 4 + 2x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 10 + 4 2x = 10 + 4 Combine like terms: 10 + 4 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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