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Simplifying 4(x + 10) + 2(3x + 20) = 180 Reorder the terms: 4(10 + x) + 2(3x + 20) = 180 (10 * 4 + x * 4) + 2(3x + 20) = 180 (40 + 4x) + 2(3x + 20) = 180 Reorder the terms: 40 + 4x + 2(20 + 3x) = 180 40 + 4x + (20 * 2 + 3x * 2) = 180 40 + 4x + (40 + 6x) = 180 Reorder the terms: 40 + 40 + 4x + 6x = 180 Combine like terms: 40 + 40 = 80 80 + 4x + 6x = 180 Combine like terms: 4x + 6x = 10x 80 + 10x = 180 Solving 80 + 10x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 10x = 180 + -80 Combine like terms: 80 + -80 = 0 0 + 10x = 180 + -80 10x = 180 + -80 Combine like terms: 180 + -80 = 100 10x = 100 Divide each side by '10'. x = 10 Simplifying x = 10
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