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Simplifying 5(3x + -4) = 8(x + 2) + 5 Reorder the terms: 5(-4 + 3x) = 8(x + 2) + 5 (-4 * 5 + 3x * 5) = 8(x + 2) + 5 (-20 + 15x) = 8(x + 2) + 5 Reorder the terms: -20 + 15x = 8(2 + x) + 5 -20 + 15x = (2 * 8 + x * 8) + 5 -20 + 15x = (16 + 8x) + 5 Reorder the terms: -20 + 15x = 16 + 5 + 8x Combine like terms: 16 + 5 = 21 -20 + 15x = 21 + 8x Solving -20 + 15x = 21 + 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 = 21 + 8x + -8x Combine like terms: 15x + -8x = 7x -20 + 7x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 7x = 21 + 0 -20 + 7x = 21 Add '20' to each side of the equation. -20 + 20 + 7x = 21 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = 21 + 20 7x = 21 + 20 Combine like terms: 21 + 20 = 41 7x = 41 Divide each side by '7'. x = 5.857142857 Simplifying x = 5.857142857
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