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Simplifying 15(3x + -2) = 6x + -7 Reorder the terms: 15(-2 + 3x) = 6x + -7 (-2 * 15 + 3x * 15) = 6x + -7 (-30 + 45x) = 6x + -7 Reorder the terms: -30 + 45x = -7 + 6x Solving -30 + 45x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -30 + 45x + -6x = -7 + 6x + -6x Combine like terms: 45x + -6x = 39x -30 + 39x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 39x = -7 + 0 -30 + 39x = -7 Add '30' to each side of the equation. -30 + 30 + 39x = -7 + 30 Combine like terms: -30 + 30 = 0 0 + 39x = -7 + 30 39x = -7 + 30 Combine like terms: -7 + 30 = 23 39x = 23 Divide each side by '39'. x = 0.5897435897 Simplifying x = 0.5897435897
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