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Simplifying 7x + 4(-5x + -8) = -84 Reorder the terms: 7x + 4(-8 + -5x) = -84 7x + (-8 * 4 + -5x * 4) = -84 7x + (-32 + -20x) = -84 Reorder the terms: -32 + 7x + -20x = -84 Combine like terms: 7x + -20x = -13x -32 + -13x = -84 Solving -32 + -13x = -84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -13x = -84 + 32 Combine like terms: -32 + 32 = 0 0 + -13x = -84 + 32 -13x = -84 + 32 Combine like terms: -84 + 32 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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