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Simplifying 4(3x + -5) = 2(x + 8) + -6x Reorder the terms: 4(-5 + 3x) = 2(x + 8) + -6x (-5 * 4 + 3x * 4) = 2(x + 8) + -6x (-20 + 12x) = 2(x + 8) + -6x Reorder the terms: -20 + 12x = 2(8 + x) + -6x -20 + 12x = (8 * 2 + x * 2) + -6x -20 + 12x = (16 + 2x) + -6x Combine like terms: 2x + -6x = -4x -20 + 12x = 16 + -4x Solving -20 + 12x = 16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -20 + 12x + 4x = 16 + -4x + 4x Combine like terms: 12x + 4x = 16x -20 + 16x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 -20 + 16x = 16 + 0 -20 + 16x = 16 Add '20' to each side of the equation. -20 + 20 + 16x = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 16x = 16 + 20 16x = 16 + 20 Combine like terms: 16 + 20 = 36 16x = 36 Divide each side by '16'. x = 2.25 Simplifying x = 2.25
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