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Simplifying 5(x + -4) = 35(x + 2) Reorder the terms: 5(-4 + x) = 35(x + 2) (-4 * 5 + x * 5) = 35(x + 2) (-20 + 5x) = 35(x + 2) Reorder the terms: -20 + 5x = 35(2 + x) -20 + 5x = (2 * 35 + x * 35) -20 + 5x = (70 + 35x) Solving -20 + 5x = 70 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -20 + 5x + -35x = 70 + 35x + -35x Combine like terms: 5x + -35x = -30x -20 + -30x = 70 + 35x + -35x Combine like terms: 35x + -35x = 0 -20 + -30x = 70 + 0 -20 + -30x = 70 Add '20' to each side of the equation. -20 + 20 + -30x = 70 + 20 Combine like terms: -20 + 20 = 0 0 + -30x = 70 + 20 -30x = 70 + 20 Combine like terms: 70 + 20 = 90 -30x = 90 Divide each side by '-30'. x = -3 Simplifying x = -3
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