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Simplifying 4(3x + -5) + 2(x + -4) = 84 Reorder the terms: 4(-5 + 3x) + 2(x + -4) = 84 (-5 * 4 + 3x * 4) + 2(x + -4) = 84 (-20 + 12x) + 2(x + -4) = 84 Reorder the terms: -20 + 12x + 2(-4 + x) = 84 -20 + 12x + (-4 * 2 + x * 2) = 84 -20 + 12x + (-8 + 2x) = 84 Reorder the terms: -20 + -8 + 12x + 2x = 84 Combine like terms: -20 + -8 = -28 -28 + 12x + 2x = 84 Combine like terms: 12x + 2x = 14x -28 + 14x = 84 Solving -28 + 14x = 84 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 + 14x = 84 + 28 Combine like terms: -28 + 28 = 0 0 + 14x = 84 + 28 14x = 84 + 28 Combine like terms: 84 + 28 = 112 14x = 112 Divide each side by '14'. x = 8 Simplifying x = 8
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