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Simplifying 7(2x + -4) + -4(3x + 2) = 4 Reorder the terms: 7(-4 + 2x) + -4(3x + 2) = 4 (-4 * 7 + 2x * 7) + -4(3x + 2) = 4 (-28 + 14x) + -4(3x + 2) = 4 Reorder the terms: -28 + 14x + -4(2 + 3x) = 4 -28 + 14x + (2 * -4 + 3x * -4) = 4 -28 + 14x + (-8 + -12x) = 4 Reorder the terms: -28 + -8 + 14x + -12x = 4 Combine like terms: -28 + -8 = -36 -36 + 14x + -12x = 4 Combine like terms: 14x + -12x = 2x -36 + 2x = 4 Solving -36 + 2x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 2x = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 2x = 4 + 36 2x = 4 + 36 Combine like terms: 4 + 36 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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