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Simplifying 5(4x + -7) = -21(5 + -1x) Reorder the terms: 5(-7 + 4x) = -21(5 + -1x) (-7 * 5 + 4x * 5) = -21(5 + -1x) (-35 + 20x) = -21(5 + -1x) -35 + 20x = (5 * -21 + -1x * -21) -35 + 20x = (-105 + 21x) Solving -35 + 20x = -105 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -35 + 20x + -21x = -105 + 21x + -21x Combine like terms: 20x + -21x = -1x -35 + -1x = -105 + 21x + -21x Combine like terms: 21x + -21x = 0 -35 + -1x = -105 + 0 -35 + -1x = -105 Add '35' to each side of the equation. -35 + 35 + -1x = -105 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = -105 + 35 -1x = -105 + 35 Combine like terms: -105 + 35 = -70 -1x = -70 Divide each side by '-1'. x = 70 Simplifying x = 70
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