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Simplifying -4(8x + -5) = -124 + -6(3x + 4) Reorder the terms: -4(-5 + 8x) = -124 + -6(3x + 4) (-5 * -4 + 8x * -4) = -124 + -6(3x + 4) (20 + -32x) = -124 + -6(3x + 4) Reorder the terms: 20 + -32x = -124 + -6(4 + 3x) 20 + -32x = -124 + (4 * -6 + 3x * -6) 20 + -32x = -124 + (-24 + -18x) Combine like terms: -124 + -24 = -148 20 + -32x = -148 + -18x Solving 20 + -32x = -148 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 20 + -32x + 18x = -148 + -18x + 18x Combine like terms: -32x + 18x = -14x 20 + -14x = -148 + -18x + 18x Combine like terms: -18x + 18x = 0 20 + -14x = -148 + 0 20 + -14x = -148 Add '-20' to each side of the equation. 20 + -20 + -14x = -148 + -20 Combine like terms: 20 + -20 = 0 0 + -14x = -148 + -20 -14x = -148 + -20 Combine like terms: -148 + -20 = -168 -14x = -168 Divide each side by '-14'. x = 12 Simplifying x = 12
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