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Simplifying 3(3x + -7) = 2(2x + 5) Reorder the terms: 3(-7 + 3x) = 2(2x + 5) (-7 * 3 + 3x * 3) = 2(2x + 5) (-21 + 9x) = 2(2x + 5) Reorder the terms: -21 + 9x = 2(5 + 2x) -21 + 9x = (5 * 2 + 2x * 2) -21 + 9x = (10 + 4x) Solving -21 + 9x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -21 + 9x + -4x = 10 + 4x + -4x Combine like terms: 9x + -4x = 5x -21 + 5x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 5x = 10 + 0 -21 + 5x = 10 Add '21' to each side of the equation. -21 + 21 + 5x = 10 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = 10 + 21 5x = 10 + 21 Combine like terms: 10 + 21 = 31 5x = 31 Divide each side by '5'. x = 6.2 Simplifying x = 6.2
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