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Simplifying 22x + -3(5x + 8) = 2x + 6 Reorder the terms: 22x + -3(8 + 5x) = 2x + 6 22x + (8 * -3 + 5x * -3) = 2x + 6 22x + (-24 + -15x) = 2x + 6 Reorder the terms: -24 + 22x + -15x = 2x + 6 Combine like terms: 22x + -15x = 7x -24 + 7x = 2x + 6 Reorder the terms: -24 + 7x = 6 + 2x Solving -24 + 7x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 7x + -2x = 6 + 2x + -2x Combine like terms: 7x + -2x = 5x -24 + 5x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 5x = 6 + 0 -24 + 5x = 6 Add '24' to each side of the equation. -24 + 24 + 5x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 6 + 24 5x = 6 + 24 Combine like terms: 6 + 24 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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