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Simplifying 5x + -20 = 30(x + -4) Reorder the terms: -20 + 5x = 30(x + -4) Reorder the terms: -20 + 5x = 30(-4 + x) -20 + 5x = (-4 * 30 + x * 30) -20 + 5x = (-120 + 30x) Solving -20 + 5x = -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. -20 + 5x + -30x = -120 + 30x + -30x Combine like terms: 5x + -30x = -25x -20 + -25x = -120 + 30x + -30x Combine like terms: 30x + -30x = 0 -20 + -25x = -120 + 0 -20 + -25x = -120 Add '20' to each side of the equation. -20 + 20 + -25x = -120 + 20 Combine like terms: -20 + 20 = 0 0 + -25x = -120 + 20 -25x = -120 + 20 Combine like terms: -120 + 20 = -100 -25x = -100 Divide each side by '-25'. x = 4 Simplifying x = 4
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