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Simplifying 2(2x + -70) = -1(3x + -35) Reorder the terms: 2(-70 + 2x) = -1(3x + -35) (-70 * 2 + 2x * 2) = -1(3x + -35) (-140 + 4x) = -1(3x + -35) Reorder the terms: -140 + 4x = -1(-35 + 3x) -140 + 4x = (-35 * -1 + 3x * -1) -140 + 4x = (35 + -3x) Solving -140 + 4x = 35 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -140 + 4x + 3x = 35 + -3x + 3x Combine like terms: 4x + 3x = 7x -140 + 7x = 35 + -3x + 3x Combine like terms: -3x + 3x = 0 -140 + 7x = 35 + 0 -140 + 7x = 35 Add '140' to each side of the equation. -140 + 140 + 7x = 35 + 140 Combine like terms: -140 + 140 = 0 0 + 7x = 35 + 140 7x = 35 + 140 Combine like terms: 35 + 140 = 175 7x = 175 Divide each side by '7'. x = 25 Simplifying x = 25
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