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Simplifying 3(x + 6) + 5(x + 4) = 46 Reorder the terms: 3(6 + x) + 5(x + 4) = 46 (6 * 3 + x * 3) + 5(x + 4) = 46 (18 + 3x) + 5(x + 4) = 46 Reorder the terms: 18 + 3x + 5(4 + x) = 46 18 + 3x + (4 * 5 + x * 5) = 46 18 + 3x + (20 + 5x) = 46 Reorder the terms: 18 + 20 + 3x + 5x = 46 Combine like terms: 18 + 20 = 38 38 + 3x + 5x = 46 Combine like terms: 3x + 5x = 8x 38 + 8x = 46 Solving 38 + 8x = 46 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 = 46 + -38 Combine like terms: 38 + -38 = 0 0 + 8x = 46 + -38 8x = 46 + -38 Combine like terms: 46 + -38 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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