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Simplifying 2(5x + 4) = 2x + 48 Reorder the terms: 2(4 + 5x) = 2x + 48 (4 * 2 + 5x * 2) = 2x + 48 (8 + 10x) = 2x + 48 Reorder the terms: 8 + 10x = 48 + 2x Solving 8 + 10x = 48 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 10x + -2x = 48 + 2x + -2x Combine like terms: 10x + -2x = 8x 8 + 8x = 48 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 8x = 48 + 0 8 + 8x = 48 Add '-8' to each side of the equation. 8 + -8 + 8x = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 48 + -8 8x = 48 + -8 Combine like terms: 48 + -8 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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