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Simplifying 5(4x + -16) = 30(x + -4) Reorder the terms: 5(-16 + 4x) = 30(x + -4) (-16 * 5 + 4x * 5) = 30(x + -4) (-80 + 20x) = 30(x + -4) Reorder the terms: -80 + 20x = 30(-4 + x) -80 + 20x = (-4 * 30 + x * 30) -80 + 20x = (-120 + 30x) Solving -80 + 20x = -120 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -80 + 20x + -30x = -120 + 30x + -30x Combine like terms: 20x + -30x = -10x -80 + -10x = -120 + 30x + -30x Combine like terms: 30x + -30x = 0 -80 + -10x = -120 + 0 -80 + -10x = -120 Add '80' to each side of the equation. -80 + 80 + -10x = -120 + 80 Combine like terms: -80 + 80 = 0 0 + -10x = -120 + 80 -10x = -120 + 80 Combine like terms: -120 + 80 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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