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Simplifying -2(x + 3) = 3(2x + 7) Reorder the terms: -2(3 + x) = 3(2x + 7) (3 * -2 + x * -2) = 3(2x + 7) (-6 + -2x) = 3(2x + 7) Reorder the terms: -6 + -2x = 3(7 + 2x) -6 + -2x = (7 * 3 + 2x * 3) -6 + -2x = (21 + 6x) Solving -6 + -2x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + -2x + -6x = 21 + 6x + -6x Combine like terms: -2x + -6x = -8x -6 + -8x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -8x = 21 + 0 -6 + -8x = 21 Add '6' to each side of the equation. -6 + 6 + -8x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 21 + 6 -8x = 21 + 6 Combine like terms: 21 + 6 = 27 -8x = 27 Divide each side by '-8'. x = -3.375 Simplifying x = -3.375
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