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Simplifying 7(5 + -2x) = 7x + 5 (5 * 7 + -2x * 7) = 7x + 5 (35 + -14x) = 7x + 5 Reorder the terms: 35 + -14x = 5 + 7x Solving 35 + -14x = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 35 + -14x + -7x = 5 + 7x + -7x Combine like terms: -14x + -7x = -21x 35 + -21x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + -21x = 5 + 0 35 + -21x = 5 Add '-35' to each side of the equation. 35 + -35 + -21x = 5 + -35 Combine like terms: 35 + -35 = 0 0 + -21x = 5 + -35 -21x = 5 + -35 Combine like terms: 5 + -35 = -30 -21x = -30 Divide each side by '-21'. x = 1.428571429 Simplifying x = 1.428571429
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