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Simplifying -4(7x + -1) + 5x = 2(3x + 4) + -3x Reorder the terms: -4(-1 + 7x) + 5x = 2(3x + 4) + -3x (-1 * -4 + 7x * -4) + 5x = 2(3x + 4) + -3x (4 + -28x) + 5x = 2(3x + 4) + -3x Combine like terms: -28x + 5x = -23x 4 + -23x = 2(3x + 4) + -3x Reorder the terms: 4 + -23x = 2(4 + 3x) + -3x 4 + -23x = (4 * 2 + 3x * 2) + -3x 4 + -23x = (8 + 6x) + -3x Combine like terms: 6x + -3x = 3x 4 + -23x = 8 + 3x Solving 4 + -23x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -23x + -3x = 8 + 3x + -3x Combine like terms: -23x + -3x = -26x 4 + -26x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -26x = 8 + 0 4 + -26x = 8 Add '-4' to each side of the equation. 4 + -4 + -26x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -26x = 8 + -4 -26x = 8 + -4 Combine like terms: 8 + -4 = 4 -26x = 4 Divide each side by '-26'. x = -0.1538461538 Simplifying x = -0.1538461538
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