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Simplifying 7[-2(x + 3)] = -20(5x + -3) Reorder the terms: 7[-2(3 + x)] = -20(5x + -3) 7[(3 * -2 + x * -2)] = -20(5x + -3) 7[(-6 + -2x)] = -20(5x + -3) [-6 * 7 + -2x * 7] = -20(5x + -3) [-42 + -14x] = -20(5x + -3) Reorder the terms: -42 + -14x = -20(-3 + 5x) -42 + -14x = (-3 * -20 + 5x * -20) -42 + -14x = (60 + -100x) Solving -42 + -14x = 60 + -100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100x' to each side of the equation. -42 + -14x + 100x = 60 + -100x + 100x Combine like terms: -14x + 100x = 86x -42 + 86x = 60 + -100x + 100x Combine like terms: -100x + 100x = 0 -42 + 86x = 60 + 0 -42 + 86x = 60 Add '42' to each side of the equation. -42 + 42 + 86x = 60 + 42 Combine like terms: -42 + 42 = 0 0 + 86x = 60 + 42 86x = 60 + 42 Combine like terms: 60 + 42 = 102 86x = 102 Divide each side by '86'. x = 1.186046512 Simplifying x = 1.186046512
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