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Simplifying 5(1 + -4x) + -5(x + 7) = 70 (1 * 5 + -4x * 5) + -5(x + 7) = 70 (5 + -20x) + -5(x + 7) = 70 Reorder the terms: 5 + -20x + -5(7 + x) = 70 5 + -20x + (7 * -5 + x * -5) = 70 5 + -20x + (-35 + -5x) = 70 Reorder the terms: 5 + -35 + -20x + -5x = 70 Combine like terms: 5 + -35 = -30 -30 + -20x + -5x = 70 Combine like terms: -20x + -5x = -25x -30 + -25x = 70 Solving -30 + -25x = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -25x = 70 + 30 Combine like terms: -30 + 30 = 0 0 + -25x = 70 + 30 -25x = 70 + 30 Combine like terms: 70 + 30 = 100 -25x = 100 Divide each side by '-25'. x = -4 Simplifying x = -4
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