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Simplifying 5(x + 7) + -4(-4x + -5) = 20(x + 1) + 8 Reorder the terms: 5(7 + x) + -4(-4x + -5) = 20(x + 1) + 8 (7 * 5 + x * 5) + -4(-4x + -5) = 20(x + 1) + 8 (35 + 5x) + -4(-4x + -5) = 20(x + 1) + 8 Reorder the terms: 35 + 5x + -4(-5 + -4x) = 20(x + 1) + 8 35 + 5x + (-5 * -4 + -4x * -4) = 20(x + 1) + 8 35 + 5x + (20 + 16x) = 20(x + 1) + 8 Reorder the terms: 35 + 20 + 5x + 16x = 20(x + 1) + 8 Combine like terms: 35 + 20 = 55 55 + 5x + 16x = 20(x + 1) + 8 Combine like terms: 5x + 16x = 21x 55 + 21x = 20(x + 1) + 8 Reorder the terms: 55 + 21x = 20(1 + x) + 8 55 + 21x = (1 * 20 + x * 20) + 8 55 + 21x = (20 + 20x) + 8 Reorder the terms: 55 + 21x = 20 + 8 + 20x Combine like terms: 20 + 8 = 28 55 + 21x = 28 + 20x Solving 55 + 21x = 28 + 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. 55 + 21x + -20x = 28 + 20x + -20x Combine like terms: 21x + -20x = 1x 55 + 1x = 28 + 20x + -20x Combine like terms: 20x + -20x = 0 55 + 1x = 28 + 0 55 + 1x = 28 Add '-55' to each side of the equation. 55 + -55 + 1x = 28 + -55 Combine like terms: 55 + -55 = 0 0 + 1x = 28 + -55 1x = 28 + -55 Combine like terms: 28 + -55 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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