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Simplifying -140 = 7x + 7(-7x + 10) Reorder the terms: -140 = 7x + 7(10 + -7x) -140 = 7x + (10 * 7 + -7x * 7) -140 = 7x + (70 + -49x) Reorder the terms: -140 = 70 + 7x + -49x Combine like terms: 7x + -49x = -42x -140 = 70 + -42x Solving -140 = 70 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -140 + 42x = 70 + -42x + 42x Combine like terms: -42x + 42x = 0 -140 + 42x = 70 + 0 -140 + 42x = 70 Add '140' to each side of the equation. -140 + 140 + 42x = 70 + 140 Combine like terms: -140 + 140 = 0 0 + 42x = 70 + 140 42x = 70 + 140 Combine like terms: 70 + 140 = 210 42x = 210 Divide each side by '42'. x = 5 Simplifying x = 5
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