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Simplifying 11x + 20 = 2(x + 4) + -6 Reorder the terms: 20 + 11x = 2(x + 4) + -6 Reorder the terms: 20 + 11x = 2(4 + x) + -6 20 + 11x = (4 * 2 + x * 2) + -6 20 + 11x = (8 + 2x) + -6 Reorder the terms: 20 + 11x = 8 + -6 + 2x Combine like terms: 8 + -6 = 2 20 + 11x = 2 + 2x Solving 20 + 11x = 2 + 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. 20 + 11x + -2x = 2 + 2x + -2x Combine like terms: 11x + -2x = 9x 20 + 9x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 9x = 2 + 0 20 + 9x = 2 Add '-20' to each side of the equation. 20 + -20 + 9x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 9x = 2 + -20 9x = 2 + -20 Combine like terms: 2 + -20 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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