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Simplifying 5(3x + -4) = 8x + 1 Reorder the terms: 5(-4 + 3x) = 8x + 1 (-4 * 5 + 3x * 5) = 8x + 1 (-20 + 15x) = 8x + 1 Reorder the terms: -20 + 15x = 1 + 8x Solving -20 + 15x = 1 + 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. -20 + 15x + -8x = 1 + 8x + -8x Combine like terms: 15x + -8x = 7x -20 + 7x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 7x = 1 + 0 -20 + 7x = 1 Add '20' to each side of the equation. -20 + 20 + 7x = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = 1 + 20 7x = 1 + 20 Combine like terms: 1 + 20 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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