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Simplifying 6(x + 1) + -5(x + -2) = 20 Reorder the terms: 6(1 + x) + -5(x + -2) = 20 (1 * 6 + x * 6) + -5(x + -2) = 20 (6 + 6x) + -5(x + -2) = 20 Reorder the terms: 6 + 6x + -5(-2 + x) = 20 6 + 6x + (-2 * -5 + x * -5) = 20 6 + 6x + (10 + -5x) = 20 Reorder the terms: 6 + 10 + 6x + -5x = 20 Combine like terms: 6 + 10 = 16 16 + 6x + -5x = 20 Combine like terms: 6x + -5x = 1x 16 + 1x = 20 Solving 16 + 1x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1x = 20 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 20 + -16 1x = 20 + -16 Combine like terms: 20 + -16 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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