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Simplifying 7(2x + -2) = 4(3x + 1) Reorder the terms: 7(-2 + 2x) = 4(3x + 1) (-2 * 7 + 2x * 7) = 4(3x + 1) (-14 + 14x) = 4(3x + 1) Reorder the terms: -14 + 14x = 4(1 + 3x) -14 + 14x = (1 * 4 + 3x * 4) -14 + 14x = (4 + 12x) Solving -14 + 14x = 4 + 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. -14 + 14x + -12x = 4 + 12x + -12x Combine like terms: 14x + -12x = 2x -14 + 2x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + 2x = 4 + 0 -14 + 2x = 4 Add '14' to each side of the equation. -14 + 14 + 2x = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 4 + 14 2x = 4 + 14 Combine like terms: 4 + 14 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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