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Simplifying -5(4x + 1) + -3 = 5(x + 4) + 3x Reorder the terms: -5(1 + 4x) + -3 = 5(x + 4) + 3x (1 * -5 + 4x * -5) + -3 = 5(x + 4) + 3x (-5 + -20x) + -3 = 5(x + 4) + 3x Reorder the terms: -5 + -3 + -20x = 5(x + 4) + 3x Combine like terms: -5 + -3 = -8 -8 + -20x = 5(x + 4) + 3x Reorder the terms: -8 + -20x = 5(4 + x) + 3x -8 + -20x = (4 * 5 + x * 5) + 3x -8 + -20x = (20 + 5x) + 3x Combine like terms: 5x + 3x = 8x -8 + -20x = 20 + 8x Solving -8 + -20x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + -20x + -8x = 20 + 8x + -8x Combine like terms: -20x + -8x = -28x -8 + -28x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -28x = 20 + 0 -8 + -28x = 20 Add '8' to each side of the equation. -8 + 8 + -28x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -28x = 20 + 8 -28x = 20 + 8 Combine like terms: 20 + 8 = 28 -28x = 28 Divide each side by '-28'. x = -1 Simplifying x = -1
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