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