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Simplifying 4(2x + -5) = 2(3x + 8) Reorder the terms: 4(-5 + 2x) = 2(3x + 8) (-5 * 4 + 2x * 4) = 2(3x + 8) (-20 + 8x) = 2(3x + 8) Reorder the terms: -20 + 8x = 2(8 + 3x) -20 + 8x = (8 * 2 + 3x * 2) -20 + 8x = (16 + 6x) Solving -20 + 8x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 8x + -6x = 16 + 6x + -6x Combine like terms: 8x + -6x = 2x -20 + 2x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 2x = 16 + 0 -20 + 2x = 16 Add '20' to each side of the equation. -20 + 20 + 2x = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 16 + 20 2x = 16 + 20 Combine like terms: 16 + 20 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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