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Simplifying 7 + (4x + -2) = 2(x + 5) + 1 Reorder the terms: 7 + (-2 + 4x) = 2(x + 5) + 1 Remove parenthesis around (-2 + 4x) 7 + -2 + 4x = 2(x + 5) + 1 Combine like terms: 7 + -2 = 5 5 + 4x = 2(x + 5) + 1 Reorder the terms: 5 + 4x = 2(5 + x) + 1 5 + 4x = (5 * 2 + x * 2) + 1 5 + 4x = (10 + 2x) + 1 Reorder the terms: 5 + 4x = 10 + 1 + 2x Combine like terms: 10 + 1 = 11 5 + 4x = 11 + 2x Solving 5 + 4x = 11 + 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 + 4x + -2x = 11 + 2x + -2x Combine like terms: 4x + -2x = 2x 5 + 2x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 2x = 11 + 0 5 + 2x = 11 Add '-5' to each side of the equation. 5 + -5 + 2x = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 11 + -5 2x = 11 + -5 Combine like terms: 11 + -5 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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