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Simplifying 4(5x + -7) + -2(4x + 1) = 6 Reorder the terms: 4(-7 + 5x) + -2(4x + 1) = 6 (-7 * 4 + 5x * 4) + -2(4x + 1) = 6 (-28 + 20x) + -2(4x + 1) = 6 Reorder the terms: -28 + 20x + -2(1 + 4x) = 6 -28 + 20x + (1 * -2 + 4x * -2) = 6 -28 + 20x + (-2 + -8x) = 6 Reorder the terms: -28 + -2 + 20x + -8x = 6 Combine like terms: -28 + -2 = -30 -30 + 20x + -8x = 6 Combine like terms: 20x + -8x = 12x -30 + 12x = 6 Solving -30 + 12x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 12x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 6 + 30 12x = 6 + 30 Combine like terms: 6 + 30 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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