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Simplifying -7(x + 8) = -2(x + 3) Reorder the terms: -7(8 + x) = -2(x + 3) (8 * -7 + x * -7) = -2(x + 3) (-56 + -7x) = -2(x + 3) Reorder the terms: -56 + -7x = -2(3 + x) -56 + -7x = (3 * -2 + x * -2) -56 + -7x = (-6 + -2x) Solving -56 + -7x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -56 + -7x + 2x = -6 + -2x + 2x Combine like terms: -7x + 2x = -5x -56 + -5x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -56 + -5x = -6 + 0 -56 + -5x = -6 Add '56' to each side of the equation. -56 + 56 + -5x = -6 + 56 Combine like terms: -56 + 56 = 0 0 + -5x = -6 + 56 -5x = -6 + 56 Combine like terms: -6 + 56 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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