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Simplifying 4(x + -4) + 2(5x + 10) = 88 Reorder the terms: 4(-4 + x) + 2(5x + 10) = 88 (-4 * 4 + x * 4) + 2(5x + 10) = 88 (-16 + 4x) + 2(5x + 10) = 88 Reorder the terms: -16 + 4x + 2(10 + 5x) = 88 -16 + 4x + (10 * 2 + 5x * 2) = 88 -16 + 4x + (20 + 10x) = 88 Reorder the terms: -16 + 20 + 4x + 10x = 88 Combine like terms: -16 + 20 = 4 4 + 4x + 10x = 88 Combine like terms: 4x + 10x = 14x 4 + 14x = 88 Solving 4 + 14x = 88 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 14x = 88 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = 88 + -4 14x = 88 + -4 Combine like terms: 88 + -4 = 84 14x = 84 Divide each side by '14'. x = 6 Simplifying x = 6
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