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Simplifying -5(7x + 3) + -4 = 5(4x + -2) + -7 Reorder the terms: -5(3 + 7x) + -4 = 5(4x + -2) + -7 (3 * -5 + 7x * -5) + -4 = 5(4x + -2) + -7 (-15 + -35x) + -4 = 5(4x + -2) + -7 Reorder the terms: -15 + -4 + -35x = 5(4x + -2) + -7 Combine like terms: -15 + -4 = -19 -19 + -35x = 5(4x + -2) + -7 Reorder the terms: -19 + -35x = 5(-2 + 4x) + -7 -19 + -35x = (-2 * 5 + 4x * 5) + -7 -19 + -35x = (-10 + 20x) + -7 Reorder the terms: -19 + -35x = -10 + -7 + 20x Combine like terms: -10 + -7 = -17 -19 + -35x = -17 + 20x Solving -19 + -35x = -17 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -19 + -35x + -20x = -17 + 20x + -20x Combine like terms: -35x + -20x = -55x -19 + -55x = -17 + 20x + -20x Combine like terms: 20x + -20x = 0 -19 + -55x = -17 + 0 -19 + -55x = -17 Add '19' to each side of the equation. -19 + 19 + -55x = -17 + 19 Combine like terms: -19 + 19 = 0 0 + -55x = -17 + 19 -55x = -17 + 19 Combine like terms: -17 + 19 = 2 -55x = 2 Divide each side by '-55'. x = -0.03636363636 Simplifying x = -0.03636363636
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