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Simplifying 8 + 2x = 3(2x + 4) + -5(x + -2) Reorder the terms: 8 + 2x = 3(4 + 2x) + -5(x + -2) 8 + 2x = (4 * 3 + 2x * 3) + -5(x + -2) 8 + 2x = (12 + 6x) + -5(x + -2) Reorder the terms: 8 + 2x = 12 + 6x + -5(-2 + x) 8 + 2x = 12 + 6x + (-2 * -5 + x * -5) 8 + 2x = 12 + 6x + (10 + -5x) Reorder the terms: 8 + 2x = 12 + 10 + 6x + -5x Combine like terms: 12 + 10 = 22 8 + 2x = 22 + 6x + -5x Combine like terms: 6x + -5x = 1x 8 + 2x = 22 + 1x Solving 8 + 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. 8 + 2x + -1x = 22 + 1x + -1x Combine like terms: 2x + -1x = 1x 8 + 1x = 22 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + 1x = 22 + 0 8 + 1x = 22 Add '-8' to each side of the equation. 8 + -8 + 1x = 22 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 22 + -8 1x = 22 + -8 Combine like terms: 22 + -8 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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