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Simplifying 8(-7 + 3x) = -2(x + 2) (-7 * 8 + 3x * 8) = -2(x + 2) (-56 + 24x) = -2(x + 2) Reorder the terms: -56 + 24x = -2(2 + x) -56 + 24x = (2 * -2 + x * -2) -56 + 24x = (-4 + -2x) Solving -56 + 24x = -4 + -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 + 24x + 2x = -4 + -2x + 2x Combine like terms: 24x + 2x = 26x -56 + 26x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -56 + 26x = -4 + 0 -56 + 26x = -4 Add '56' to each side of the equation. -56 + 56 + 26x = -4 + 56 Combine like terms: -56 + 56 = 0 0 + 26x = -4 + 56 26x = -4 + 56 Combine like terms: -4 + 56 = 52 26x = 52 Divide each side by '26'. x = 2 Simplifying x = 2
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