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Simplifying 2(3x + 7) = -2x + 30 Reorder the terms: 2(7 + 3x) = -2x + 30 (7 * 2 + 3x * 2) = -2x + 30 (14 + 6x) = -2x + 30 Reorder the terms: 14 + 6x = 30 + -2x Solving 14 + 6x = 30 + -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. 14 + 6x + 2x = 30 + -2x + 2x Combine like terms: 6x + 2x = 8x 14 + 8x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 8x = 30 + 0 14 + 8x = 30 Add '-14' to each side of the equation. 14 + -14 + 8x = 30 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 30 + -14 8x = 30 + -14 Combine like terms: 30 + -14 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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