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Simplifying 4x + -2y = 24(x + -5) Reorder the terms: 4x + -2y = 24(-5 + x) 4x + -2y = (-5 * 24 + x * 24) 4x + -2y = (-120 + 24x) Solving 4x + -2y = -120 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 4x + -24x + -2y = -120 + 24x + -24x Combine like terms: 4x + -24x = -20x -20x + -2y = -120 + 24x + -24x Combine like terms: 24x + -24x = 0 -20x + -2y = -120 + 0 -20x + -2y = -120 Add '2y' to each side of the equation. -20x + -2y + 2y = -120 + 2y Combine like terms: -2y + 2y = 0 -20x + 0 = -120 + 2y -20x = -120 + 2y Divide each side by '-20'. x = 6 + -0.1y Simplifying x = 6 + -0.1y
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