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Simplifying 7(2x + -4) = 3(3x + -1) Reorder the terms: 7(-4 + 2x) = 3(3x + -1) (-4 * 7 + 2x * 7) = 3(3x + -1) (-28 + 14x) = 3(3x + -1) Reorder the terms: -28 + 14x = 3(-1 + 3x) -28 + 14x = (-1 * 3 + 3x * 3) -28 + 14x = (-3 + 9x) Solving -28 + 14x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -28 + 14x + -9x = -3 + 9x + -9x Combine like terms: 14x + -9x = 5x -28 + 5x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 -28 + 5x = -3 + 0 -28 + 5x = -3 Add '28' to each side of the equation. -28 + 28 + 5x = -3 + 28 Combine like terms: -28 + 28 = 0 0 + 5x = -3 + 28 5x = -3 + 28 Combine like terms: -3 + 28 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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