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Simplifying 8x + 4(-5 + -7x) = -2(x + 7) 8x + (-5 * 4 + -7x * 4) = -2(x + 7) 8x + (-20 + -28x) = -2(x + 7) Reorder the terms: -20 + 8x + -28x = -2(x + 7) Combine like terms: 8x + -28x = -20x -20 + -20x = -2(x + 7) Reorder the terms: -20 + -20x = -2(7 + x) -20 + -20x = (7 * -2 + x * -2) -20 + -20x = (-14 + -2x) Solving -20 + -20x = -14 + -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. -20 + -20x + 2x = -14 + -2x + 2x Combine like terms: -20x + 2x = -18x -20 + -18x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + -18x = -14 + 0 -20 + -18x = -14 Add '20' to each side of the equation. -20 + 20 + -18x = -14 + 20 Combine like terms: -20 + 20 = 0 0 + -18x = -14 + 20 -18x = -14 + 20 Combine like terms: -14 + 20 = 6 -18x = 6 Divide each side by '-18'. x = -0.3333333333 Simplifying x = -0.3333333333
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