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Simplifying 5(x + -4) + 2(x + -4) = 21 Reorder the terms: 5(-4 + x) + 2(x + -4) = 21 (-4 * 5 + x * 5) + 2(x + -4) = 21 (-20 + 5x) + 2(x + -4) = 21 Reorder the terms: -20 + 5x + 2(-4 + x) = 21 -20 + 5x + (-4 * 2 + x * 2) = 21 -20 + 5x + (-8 + 2x) = 21 Reorder the terms: -20 + -8 + 5x + 2x = 21 Combine like terms: -20 + -8 = -28 -28 + 5x + 2x = 21 Combine like terms: 5x + 2x = 7x -28 + 7x = 21 Solving -28 + 7x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 7x = 21 + 28 Combine like terms: -28 + 28 = 0 0 + 7x = 21 + 28 7x = 21 + 28 Combine like terms: 21 + 28 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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