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Simplifying 6 + 4(x + 1) = 2(x + 10) Reorder the terms: 6 + 4(1 + x) = 2(x + 10) 6 + (1 * 4 + x * 4) = 2(x + 10) 6 + (4 + 4x) = 2(x + 10) Combine like terms: 6 + 4 = 10 10 + 4x = 2(x + 10) Reorder the terms: 10 + 4x = 2(10 + x) 10 + 4x = (10 * 2 + x * 2) 10 + 4x = (20 + 2x) Solving 10 + 4x = 20 + 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. 10 + 4x + -2x = 20 + 2x + -2x Combine like terms: 4x + -2x = 2x 10 + 2x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 2x = 20 + 0 10 + 2x = 20 Add '-10' to each side of the equation. 10 + -10 + 2x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 20 + -10 2x = 20 + -10 Combine like terms: 20 + -10 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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