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Simplifying 2(3x + 2) = 17 + -2(x + -2) Reorder the terms: 2(2 + 3x) = 17 + -2(x + -2) (2 * 2 + 3x * 2) = 17 + -2(x + -2) (4 + 6x) = 17 + -2(x + -2) Reorder the terms: 4 + 6x = 17 + -2(-2 + x) 4 + 6x = 17 + (-2 * -2 + x * -2) 4 + 6x = 17 + (4 + -2x) Combine like terms: 17 + 4 = 21 4 + 6x = 21 + -2x Solving 4 + 6x = 21 + -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. 4 + 6x + 2x = 21 + -2x + 2x Combine like terms: 6x + 2x = 8x 4 + 8x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 8x = 21 + 0 4 + 8x = 21 Add '-4' to each side of the equation. 4 + -4 + 8x = 21 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 21 + -4 8x = 21 + -4 Combine like terms: 21 + -4 = 17 8x = 17 Divide each side by '8'. x = 2.125 Simplifying x = 2.125
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