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Simplifying 3(x + 6) + 5(x + 4) = 1 Reorder the terms: 3(6 + x) + 5(x + 4) = 1 (6 * 3 + x * 3) + 5(x + 4) = 1 (18 + 3x) + 5(x + 4) = 1 Reorder the terms: 18 + 3x + 5(4 + x) = 1 18 + 3x + (4 * 5 + x * 5) = 1 18 + 3x + (20 + 5x) = 1 Reorder the terms: 18 + 20 + 3x + 5x = 1 Combine like terms: 18 + 20 = 38 38 + 3x + 5x = 1 Combine like terms: 3x + 5x = 8x 38 + 8x = 1 Solving 38 + 8x = 1 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 = 1 + -38 Combine like terms: 38 + -38 = 0 0 + 8x = 1 + -38 8x = 1 + -38 Combine like terms: 1 + -38 = -37 8x = -37 Divide each side by '8'. x = -4.625 Simplifying x = -4.625
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