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Simplifying 4(3x + -5) = 12x + -2(x + 8) Reorder the terms: 4(-5 + 3x) = 12x + -2(x + 8) (-5 * 4 + 3x * 4) = 12x + -2(x + 8) (-20 + 12x) = 12x + -2(x + 8) Reorder the terms: -20 + 12x = 12x + -2(8 + x) -20 + 12x = 12x + (8 * -2 + x * -2) -20 + 12x = 12x + (-16 + -2x) Reorder the terms: -20 + 12x = -16 + 12x + -2x Combine like terms: 12x + -2x = 10x -20 + 12x = -16 + 10x Solving -20 + 12x = -16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -20 + 12x + -10x = -16 + 10x + -10x Combine like terms: 12x + -10x = 2x -20 + 2x = -16 + 10x + -10x Combine like terms: 10x + -10x = 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 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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