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Simplifying 2 + 2x = 6(x + 2) + -5(x + -2) Reorder the terms: 2 + 2x = 6(2 + x) + -5(x + -2) 2 + 2x = (2 * 6 + x * 6) + -5(x + -2) 2 + 2x = (12 + 6x) + -5(x + -2) Reorder the terms: 2 + 2x = 12 + 6x + -5(-2 + x) 2 + 2x = 12 + 6x + (-2 * -5 + x * -5) 2 + 2x = 12 + 6x + (10 + -5x) Reorder the terms: 2 + 2x = 12 + 10 + 6x + -5x Combine like terms: 12 + 10 = 22 2 + 2x = 22 + 6x + -5x Combine like terms: 6x + -5x = 1x 2 + 2x = 22 + 1x Solving 2 + 2x = 22 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 2x + -1x = 22 + 1x + -1x Combine like terms: 2x + -1x = 1x 2 + 1x = 22 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + 1x = 22 + 0 2 + 1x = 22 Add '-2' to each side of the equation. 2 + -2 + 1x = 22 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 22 + -2 1x = 22 + -2 Combine like terms: 22 + -2 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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