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Simplifying 2(x + 4) + 6(x + 5) = 20 Reorder the terms: 2(4 + x) + 6(x + 5) = 20 (4 * 2 + x * 2) + 6(x + 5) = 20 (8 + 2x) + 6(x + 5) = 20 Reorder the terms: 8 + 2x + 6(5 + x) = 20 8 + 2x + (5 * 6 + x * 6) = 20 8 + 2x + (30 + 6x) = 20 Reorder the terms: 8 + 30 + 2x + 6x = 20 Combine like terms: 8 + 30 = 38 38 + 2x + 6x = 20 Combine like terms: 2x + 6x = 8x 38 + 8x = 20 Solving 38 + 8x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 8x = 20 + -38 Combine like terms: 38 + -38 = 0 0 + 8x = 20 + -38 8x = 20 + -38 Combine like terms: 20 + -38 = -18 8x = -18 Divide each side by '8'. x = -2.25 Simplifying x = -2.25
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