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Simplifying 5(4 + 2x) + -1(4x + -10) = 48 (4 * 5 + 2x * 5) + -1(4x + -10) = 48 (20 + 10x) + -1(4x + -10) = 48 Reorder the terms: 20 + 10x + -1(-10 + 4x) = 48 20 + 10x + (-10 * -1 + 4x * -1) = 48 20 + 10x + (10 + -4x) = 48 Reorder the terms: 20 + 10 + 10x + -4x = 48 Combine like terms: 20 + 10 = 30 30 + 10x + -4x = 48 Combine like terms: 10x + -4x = 6x 30 + 6x = 48 Solving 30 + 6x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6x = 48 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 48 + -30 6x = 48 + -30 Combine like terms: 48 + -30 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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