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Simplifying 2(x + 5) + 2x = 3x + 4 + 7 + 11 Reorder the terms: 2(5 + x) + 2x = 3x + 4 + 7 + 11 (5 * 2 + x * 2) + 2x = 3x + 4 + 7 + 11 (10 + 2x) + 2x = 3x + 4 + 7 + 11 Combine like terms: 2x + 2x = 4x 10 + 4x = 3x + 4 + 7 + 11 Reorder the terms: 10 + 4x = 4 + 7 + 11 + 3x Combine like terms: 4 + 7 = 11 10 + 4x = 11 + 11 + 3x Combine like terms: 11 + 11 = 22 10 + 4x = 22 + 3x Solving 10 + 4x = 22 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 4x + -3x = 22 + 3x + -3x Combine like terms: 4x + -3x = 1x 10 + 1x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 1x = 22 + 0 10 + 1x = 22 Add '-10' to each side of the equation. 10 + -10 + 1x = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 22 + -10 1x = 22 + -10 Combine like terms: 22 + -10 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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