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Simplifying 5x + 5 + x = 2 + 2x + 7 Reorder the terms: 5 + 5x + x = 2 + 2x + 7 Combine like terms: 5x + x = 6x 5 + 6x = 2 + 2x + 7 Reorder the terms: 5 + 6x = 2 + 7 + 2x Combine like terms: 2 + 7 = 9 5 + 6x = 9 + 2x Solving 5 + 6x = 9 + 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. 5 + 6x + -2x = 9 + 2x + -2x Combine like terms: 6x + -2x = 4x 5 + 4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 4x = 9 + 0 5 + 4x = 9 Add '-5' to each side of the equation. 5 + -5 + 4x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 9 + -5 4x = 9 + -5 Combine like terms: 9 + -5 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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