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Simplifying 5(x + 3) + 3(x + -8) = 46 Reorder the terms: 5(3 + x) + 3(x + -8) = 46 (3 * 5 + x * 5) + 3(x + -8) = 46 (15 + 5x) + 3(x + -8) = 46 Reorder the terms: 15 + 5x + 3(-8 + x) = 46 15 + 5x + (-8 * 3 + x * 3) = 46 15 + 5x + (-24 + 3x) = 46 Reorder the terms: 15 + -24 + 5x + 3x = 46 Combine like terms: 15 + -24 = -9 -9 + 5x + 3x = 46 Combine like terms: 5x + 3x = 8x -9 + 8x = 46 Solving -9 + 8x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 8x = 46 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 46 + 9 8x = 46 + 9 Combine like terms: 46 + 9 = 55 8x = 55 Divide each side by '8'. x = 6.875 Simplifying x = 6.875
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