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Simplifying 7(3x + -2) = 4(5x + -2) Reorder the terms: 7(-2 + 3x) = 4(5x + -2) (-2 * 7 + 3x * 7) = 4(5x + -2) (-14 + 21x) = 4(5x + -2) Reorder the terms: -14 + 21x = 4(-2 + 5x) -14 + 21x = (-2 * 4 + 5x * 4) -14 + 21x = (-8 + 20x) Solving -14 + 21x = -8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -14 + 21x + -20x = -8 + 20x + -20x Combine like terms: 21x + -20x = 1x -14 + 1x = -8 + 20x + -20x Combine like terms: 20x + -20x = 0 -14 + 1x = -8 + 0 -14 + 1x = -8 Add '14' to each side of the equation. -14 + 14 + 1x = -8 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -8 + 14 1x = -8 + 14 Combine like terms: -8 + 14 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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