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Simplifying 2 + 5(x + 2) = 7x + 1 Reorder the terms: 2 + 5(2 + x) = 7x + 1 2 + (2 * 5 + x * 5) = 7x + 1 2 + (10 + 5x) = 7x + 1 Combine like terms: 2 + 10 = 12 12 + 5x = 7x + 1 Reorder the terms: 12 + 5x = 1 + 7x Solving 12 + 5x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 5x + -7x = 1 + 7x + -7x Combine like terms: 5x + -7x = -2x 12 + -2x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -2x = 1 + 0 12 + -2x = 1 Add '-12' to each side of the equation. 12 + -12 + -2x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 1 + -12 -2x = 1 + -12 Combine like terms: 1 + -12 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5
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