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Simplifying 3(2x + -5) = -2(3x + 7) Reorder the terms: 3(-5 + 2x) = -2(3x + 7) (-5 * 3 + 2x * 3) = -2(3x + 7) (-15 + 6x) = -2(3x + 7) Reorder the terms: -15 + 6x = -2(7 + 3x) -15 + 6x = (7 * -2 + 3x * -2) -15 + 6x = (-14 + -6x) Solving -15 + 6x = -14 + -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. -15 + 6x + 6x = -14 + -6x + 6x Combine like terms: 6x + 6x = 12x -15 + 12x = -14 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 12x = -14 + 0 -15 + 12x = -14 Add '15' to each side of the equation. -15 + 15 + 12x = -14 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = -14 + 15 12x = -14 + 15 Combine like terms: -14 + 15 = 1 12x = 1 Divide each side by '12'. x = 0.08333333333 Simplifying x = 0.08333333333
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