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Simplifying 6(x + 6) + 4(x + -4) = 280 Reorder the terms: 6(6 + x) + 4(x + -4) = 280 (6 * 6 + x * 6) + 4(x + -4) = 280 (36 + 6x) + 4(x + -4) = 280 Reorder the terms: 36 + 6x + 4(-4 + x) = 280 36 + 6x + (-4 * 4 + x * 4) = 280 36 + 6x + (-16 + 4x) = 280 Reorder the terms: 36 + -16 + 6x + 4x = 280 Combine like terms: 36 + -16 = 20 20 + 6x + 4x = 280 Combine like terms: 6x + 4x = 10x 20 + 10x = 280 Solving 20 + 10x = 280 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 10x = 280 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = 280 + -20 10x = 280 + -20 Combine like terms: 280 + -20 = 260 10x = 260 Divide each side by '10'. x = 26 Simplifying x = 26
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