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Simplifying 7(x + -5) = 70(x + 4) Reorder the terms: 7(-5 + x) = 70(x + 4) (-5 * 7 + x * 7) = 70(x + 4) (-35 + 7x) = 70(x + 4) Reorder the terms: -35 + 7x = 70(4 + x) -35 + 7x = (4 * 70 + x * 70) -35 + 7x = (280 + 70x) Solving -35 + 7x = 280 + 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. -35 + 7x + -70x = 280 + 70x + -70x Combine like terms: 7x + -70x = -63x -35 + -63x = 280 + 70x + -70x Combine like terms: 70x + -70x = 0 -35 + -63x = 280 + 0 -35 + -63x = 280 Add '35' to each side of the equation. -35 + 35 + -63x = 280 + 35 Combine like terms: -35 + 35 = 0 0 + -63x = 280 + 35 -63x = 280 + 35 Combine like terms: 280 + 35 = 315 -63x = 315 Divide each side by '-63'. x = -5 Simplifying x = -5
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