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Simplifying 7(3 + -2x) = 15(1 + -1x) (3 * 7 + -2x * 7) = 15(1 + -1x) (21 + -14x) = 15(1 + -1x) 21 + -14x = (1 * 15 + -1x * 15) 21 + -14x = (15 + -15x) Solving 21 + -14x = 15 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 21 + -14x + 15x = 15 + -15x + 15x Combine like terms: -14x + 15x = 1x 21 + 1x = 15 + -15x + 15x Combine like terms: -15x + 15x = 0 21 + 1x = 15 + 0 21 + 1x = 15 Add '-21' to each side of the equation. 21 + -21 + 1x = 15 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 15 + -21 1x = 15 + -21 Combine like terms: 15 + -21 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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