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Simplifying 3(2x + 3) = 2(7x + -2) Reorder the terms: 3(3 + 2x) = 2(7x + -2) (3 * 3 + 2x * 3) = 2(7x + -2) (9 + 6x) = 2(7x + -2) Reorder the terms: 9 + 6x = 2(-2 + 7x) 9 + 6x = (-2 * 2 + 7x * 2) 9 + 6x = (-4 + 14x) Solving 9 + 6x = -4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 9 + 6x + -14x = -4 + 14x + -14x Combine like terms: 6x + -14x = -8x 9 + -8x = -4 + 14x + -14x Combine like terms: 14x + -14x = 0 9 + -8x = -4 + 0 9 + -8x = -4 Add '-9' to each side of the equation. 9 + -9 + -8x = -4 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = -4 + -9 -8x = -4 + -9 Combine like terms: -4 + -9 = -13 -8x = -13 Divide each side by '-8'. x = 1.625 Simplifying x = 1.625
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