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Simplifying 12x + -4(4 + -2x) = 5(x + -2) + 39 12x + (4 * -4 + -2x * -4) = 5(x + -2) + 39 12x + (-16 + 8x) = 5(x + -2) + 39 Reorder the terms: -16 + 12x + 8x = 5(x + -2) + 39 Combine like terms: 12x + 8x = 20x -16 + 20x = 5(x + -2) + 39 Reorder the terms: -16 + 20x = 5(-2 + x) + 39 -16 + 20x = (-2 * 5 + x * 5) + 39 -16 + 20x = (-10 + 5x) + 39 Reorder the terms: -16 + 20x = -10 + 39 + 5x Combine like terms: -10 + 39 = 29 -16 + 20x = 29 + 5x Solving -16 + 20x = 29 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 20x + -5x = 29 + 5x + -5x Combine like terms: 20x + -5x = 15x -16 + 15x = 29 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 15x = 29 + 0 -16 + 15x = 29 Add '16' to each side of the equation. -16 + 16 + 15x = 29 + 16 Combine like terms: -16 + 16 = 0 0 + 15x = 29 + 16 15x = 29 + 16 Combine like terms: 29 + 16 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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