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Simplifying 4(3x + -5) = 3 + -1(8x + 7) Reorder the terms: 4(-5 + 3x) = 3 + -1(8x + 7) (-5 * 4 + 3x * 4) = 3 + -1(8x + 7) (-20 + 12x) = 3 + -1(8x + 7) Reorder the terms: -20 + 12x = 3 + -1(7 + 8x) -20 + 12x = 3 + (7 * -1 + 8x * -1) -20 + 12x = 3 + (-7 + -8x) Combine like terms: 3 + -7 = -4 -20 + 12x = -4 + -8x Solving -20 + 12x = -4 + -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 + 12x + 8x = -4 + -8x + 8x Combine like terms: 12x + 8x = 20x -20 + 20x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 -20 + 20x = -4 + 0 -20 + 20x = -4 Add '20' to each side of the equation. -20 + 20 + 20x = -4 + 20 Combine like terms: -20 + 20 = 0 0 + 20x = -4 + 20 20x = -4 + 20 Combine like terms: -4 + 20 = 16 20x = 16 Divide each side by '20'. x = 0.8 Simplifying x = 0.8
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