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Simplifying 5(7 + -3x) = 7x + -9 (7 * 5 + -3x * 5) = 7x + -9 (35 + -15x) = 7x + -9 Reorder the terms: 35 + -15x = -9 + 7x Solving 35 + -15x = -9 + 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 + -15x + -7x = -9 + 7x + -7x Combine like terms: -15x + -7x = -22x 35 + -22x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + -22x = -9 + 0 35 + -22x = -9 Add '-35' to each side of the equation. 35 + -35 + -22x = -9 + -35 Combine like terms: 35 + -35 = 0 0 + -22x = -9 + -35 -22x = -9 + -35 Combine like terms: -9 + -35 = -44 -22x = -44 Divide each side by '-22'. x = 2 Simplifying x = 2
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