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Simplifying -7 + -1(5x + -3) = 4(7x + 2) Reorder the terms: -7 + -1(-3 + 5x) = 4(7x + 2) -7 + (-3 * -1 + 5x * -1) = 4(7x + 2) -7 + (3 + -5x) = 4(7x + 2) Combine like terms: -7 + 3 = -4 -4 + -5x = 4(7x + 2) Reorder the terms: -4 + -5x = 4(2 + 7x) -4 + -5x = (2 * 4 + 7x * 4) -4 + -5x = (8 + 28x) Solving -4 + -5x = 8 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -4 + -5x + -28x = 8 + 28x + -28x Combine like terms: -5x + -28x = -33x -4 + -33x = 8 + 28x + -28x Combine like terms: 28x + -28x = 0 -4 + -33x = 8 + 0 -4 + -33x = 8 Add '4' to each side of the equation. -4 + 4 + -33x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -33x = 8 + 4 -33x = 8 + 4 Combine like terms: 8 + 4 = 12 -33x = 12 Divide each side by '-33'. x = -0.3636363636 Simplifying x = -0.3636363636
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