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Simplifying 3(2x + -7) = 5(4x + 2) Reorder the terms: 3(-7 + 2x) = 5(4x + 2) (-7 * 3 + 2x * 3) = 5(4x + 2) (-21 + 6x) = 5(4x + 2) Reorder the terms: -21 + 6x = 5(2 + 4x) -21 + 6x = (2 * 5 + 4x * 5) -21 + 6x = (10 + 20x) Solving -21 + 6x = 10 + 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. -21 + 6x + -20x = 10 + 20x + -20x Combine like terms: 6x + -20x = -14x -21 + -14x = 10 + 20x + -20x Combine like terms: 20x + -20x = 0 -21 + -14x = 10 + 0 -21 + -14x = 10 Add '21' to each side of the equation. -21 + 21 + -14x = 10 + 21 Combine like terms: -21 + 21 = 0 0 + -14x = 10 + 21 -14x = 10 + 21 Combine like terms: 10 + 21 = 31 -14x = 31 Divide each side by '-14'. x = -2.214285714 Simplifying x = -2.214285714
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