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Simplifying 7(3 + 5x) = 9x + -5(x + -2) (3 * 7 + 5x * 7) = 9x + -5(x + -2) (21 + 35x) = 9x + -5(x + -2) Reorder the terms: 21 + 35x = 9x + -5(-2 + x) 21 + 35x = 9x + (-2 * -5 + x * -5) 21 + 35x = 9x + (10 + -5x) Reorder the terms: 21 + 35x = 10 + 9x + -5x Combine like terms: 9x + -5x = 4x 21 + 35x = 10 + 4x Solving 21 + 35x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 35x + -4x = 10 + 4x + -4x Combine like terms: 35x + -4x = 31x 21 + 31x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 31x = 10 + 0 21 + 31x = 10 Add '-21' to each side of the equation. 21 + -21 + 31x = 10 + -21 Combine like terms: 21 + -21 = 0 0 + 31x = 10 + -21 31x = 10 + -21 Combine like terms: 10 + -21 = -11 31x = -11 Divide each side by '31'. x = -0.3548387097 Simplifying x = -0.3548387097
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