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Simplifying 2x + 2 + 7(x + 1) = 5x + 6 Reorder the terms: 2x + 2 + 7(1 + x) = 5x + 6 2x + 2 + (1 * 7 + x * 7) = 5x + 6 2x + 2 + (7 + 7x) = 5x + 6 Reorder the terms: 2 + 7 + 2x + 7x = 5x + 6 Combine like terms: 2 + 7 = 9 9 + 2x + 7x = 5x + 6 Combine like terms: 2x + 7x = 9x 9 + 9x = 5x + 6 Reorder the terms: 9 + 9x = 6 + 5x Solving 9 + 9x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 9x + -5x = 6 + 5x + -5x Combine like terms: 9x + -5x = 4x 9 + 4x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 4x = 6 + 0 9 + 4x = 6 Add '-9' to each side of the equation. 9 + -9 + 4x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 6 + -9 4x = 6 + -9 Combine like terms: 6 + -9 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75
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