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Simplifying 2(3x + 5) = 22 + 5x + -3x Reorder the terms: 2(5 + 3x) = 22 + 5x + -3x (5 * 2 + 3x * 2) = 22 + 5x + -3x (10 + 6x) = 22 + 5x + -3x Combine like terms: 5x + -3x = 2x 10 + 6x = 22 + 2x Solving 10 + 6x = 22 + 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. 10 + 6x + -2x = 22 + 2x + -2x Combine like terms: 6x + -2x = 4x 10 + 4x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 4x = 22 + 0 10 + 4x = 22 Add '-10' to each side of the equation. 10 + -10 + 4x = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 22 + -10 4x = 22 + -10 Combine like terms: 22 + -10 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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