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Simplifying 4(5x + 1) + -2(3x + -4) = 12x + 36 Reorder the terms: 4(1 + 5x) + -2(3x + -4) = 12x + 36 (1 * 4 + 5x * 4) + -2(3x + -4) = 12x + 36 (4 + 20x) + -2(3x + -4) = 12x + 36 Reorder the terms: 4 + 20x + -2(-4 + 3x) = 12x + 36 4 + 20x + (-4 * -2 + 3x * -2) = 12x + 36 4 + 20x + (8 + -6x) = 12x + 36 Reorder the terms: 4 + 8 + 20x + -6x = 12x + 36 Combine like terms: 4 + 8 = 12 12 + 20x + -6x = 12x + 36 Combine like terms: 20x + -6x = 14x 12 + 14x = 12x + 36 Reorder the terms: 12 + 14x = 36 + 12x Solving 12 + 14x = 36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + 14x + -12x = 36 + 12x + -12x Combine like terms: 14x + -12x = 2x 12 + 2x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + 2x = 36 + 0 12 + 2x = 36 Add '-12' to each side of the equation. 12 + -12 + 2x = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 36 + -12 2x = 36 + -12 Combine like terms: 36 + -12 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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