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Simplifying 7(2x + -4) + 3(5 + -3x) = 2 Reorder the terms: 7(-4 + 2x) + 3(5 + -3x) = 2 (-4 * 7 + 2x * 7) + 3(5 + -3x) = 2 (-28 + 14x) + 3(5 + -3x) = 2 -28 + 14x + (5 * 3 + -3x * 3) = 2 -28 + 14x + (15 + -9x) = 2 Reorder the terms: -28 + 15 + 14x + -9x = 2 Combine like terms: -28 + 15 = -13 -13 + 14x + -9x = 2 Combine like terms: 14x + -9x = 5x -13 + 5x = 2 Solving -13 + 5x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 5x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 2 + 13 5x = 2 + 13 Combine like terms: 2 + 13 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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