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Simplifying 7(-2x + -3) = 3(-3x + -2) Reorder the terms: 7(-3 + -2x) = 3(-3x + -2) (-3 * 7 + -2x * 7) = 3(-3x + -2) (-21 + -14x) = 3(-3x + -2) Reorder the terms: -21 + -14x = 3(-2 + -3x) -21 + -14x = (-2 * 3 + -3x * 3) -21 + -14x = (-6 + -9x) Solving -21 + -14x = -6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -21 + -14x + 9x = -6 + -9x + 9x Combine like terms: -14x + 9x = -5x -21 + -5x = -6 + -9x + 9x Combine like terms: -9x + 9x = 0 -21 + -5x = -6 + 0 -21 + -5x = -6 Add '21' to each side of the equation. -21 + 21 + -5x = -6 + 21 Combine like terms: -21 + 21 = 0 0 + -5x = -6 + 21 -5x = -6 + 21 Combine like terms: -6 + 21 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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