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Simplifying 2(4x + 5) + 3(x + -24) = 48 Reorder the terms: 2(5 + 4x) + 3(x + -24) = 48 (5 * 2 + 4x * 2) + 3(x + -24) = 48 (10 + 8x) + 3(x + -24) = 48 Reorder the terms: 10 + 8x + 3(-24 + x) = 48 10 + 8x + (-24 * 3 + x * 3) = 48 10 + 8x + (-72 + 3x) = 48 Reorder the terms: 10 + -72 + 8x + 3x = 48 Combine like terms: 10 + -72 = -62 -62 + 8x + 3x = 48 Combine like terms: 8x + 3x = 11x -62 + 11x = 48 Solving -62 + 11x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + 11x = 48 + 62 Combine like terms: -62 + 62 = 0 0 + 11x = 48 + 62 11x = 48 + 62 Combine like terms: 48 + 62 = 110 11x = 110 Divide each side by '11'. x = 10 Simplifying x = 10
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