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Simplifying 3x + 2(2x + -3) = 22 + -7x Reorder the terms: 3x + 2(-3 + 2x) = 22 + -7x 3x + (-3 * 2 + 2x * 2) = 22 + -7x 3x + (-6 + 4x) = 22 + -7x Reorder the terms: -6 + 3x + 4x = 22 + -7x Combine like terms: 3x + 4x = 7x -6 + 7x = 22 + -7x Solving -6 + 7x = 22 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -6 + 7x + 7x = 22 + -7x + 7x Combine like terms: 7x + 7x = 14x -6 + 14x = 22 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + 14x = 22 + 0 -6 + 14x = 22 Add '6' to each side of the equation. -6 + 6 + 14x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 22 + 6 14x = 22 + 6 Combine like terms: 22 + 6 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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