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Simplifying 4(x + 15) + 16(x + -15) = 0 Reorder the terms: 4(15 + x) + 16(x + -15) = 0 (15 * 4 + x * 4) + 16(x + -15) = 0 (60 + 4x) + 16(x + -15) = 0 Reorder the terms: 60 + 4x + 16(-15 + x) = 0 60 + 4x + (-15 * 16 + x * 16) = 0 60 + 4x + (-240 + 16x) = 0 Reorder the terms: 60 + -240 + 4x + 16x = 0 Combine like terms: 60 + -240 = -180 -180 + 4x + 16x = 0 Combine like terms: 4x + 16x = 20x -180 + 20x = 0 Solving -180 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '180' to each side of the equation. -180 + 180 + 20x = 0 + 180 Combine like terms: -180 + 180 = 0 0 + 20x = 0 + 180 20x = 0 + 180 Combine like terms: 0 + 180 = 180 20x = 180 Divide each side by '20'. x = 9 Simplifying x = 9
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