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Simplifying 4(2x + -5) + -3 = 5x + 1 Reorder the terms: 4(-5 + 2x) + -3 = 5x + 1 (-5 * 4 + 2x * 4) + -3 = 5x + 1 (-20 + 8x) + -3 = 5x + 1 Reorder the terms: -20 + -3 + 8x = 5x + 1 Combine like terms: -20 + -3 = -23 -23 + 8x = 5x + 1 Reorder the terms: -23 + 8x = 1 + 5x Solving -23 + 8x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -23 + 8x + -5x = 1 + 5x + -5x Combine like terms: 8x + -5x = 3x -23 + 3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -23 + 3x = 1 + 0 -23 + 3x = 1 Add '23' to each side of the equation. -23 + 23 + 3x = 1 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = 1 + 23 3x = 1 + 23 Combine like terms: 1 + 23 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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