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Simplifying -4(x + -5) + 9x = -84 + -3x Reorder the terms: -4(-5 + x) + 9x = -84 + -3x (-5 * -4 + x * -4) + 9x = -84 + -3x (20 + -4x) + 9x = -84 + -3x Combine like terms: -4x + 9x = 5x 20 + 5x = -84 + -3x Solving 20 + 5x = -84 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 20 + 5x + 3x = -84 + -3x + 3x Combine like terms: 5x + 3x = 8x 20 + 8x = -84 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + 8x = -84 + 0 20 + 8x = -84 Add '-20' to each side of the equation. 20 + -20 + 8x = -84 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = -84 + -20 8x = -84 + -20 Combine like terms: -84 + -20 = -104 8x = -104 Divide each side by '8'. x = -13 Simplifying x = -13
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