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Simplifying 5(x + 5) + 3(x + -3) = 48 Reorder the terms: 5(5 + x) + 3(x + -3) = 48 (5 * 5 + x * 5) + 3(x + -3) = 48 (25 + 5x) + 3(x + -3) = 48 Reorder the terms: 25 + 5x + 3(-3 + x) = 48 25 + 5x + (-3 * 3 + x * 3) = 48 25 + 5x + (-9 + 3x) = 48 Reorder the terms: 25 + -9 + 5x + 3x = 48 Combine like terms: 25 + -9 = 16 16 + 5x + 3x = 48 Combine like terms: 5x + 3x = 8x 16 + 8x = 48 Solving 16 + 8x = 48 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 + 8x = 48 + -16 Combine like terms: 16 + -16 = 0 0 + 8x = 48 + -16 8x = 48 + -16 Combine like terms: 48 + -16 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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