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Simplifying -1(2x + 3) = 3(2x + 7) Reorder the terms: -1(3 + 2x) = 3(2x + 7) (3 * -1 + 2x * -1) = 3(2x + 7) (-3 + -2x) = 3(2x + 7) Reorder the terms: -3 + -2x = 3(7 + 2x) -3 + -2x = (7 * 3 + 2x * 3) -3 + -2x = (21 + 6x) Solving -3 + -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. -3 + -2x + -6x = 21 + 6x + -6x Combine like terms: -2x + -6x = -8x -3 + -8x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -8x = 21 + 0 -3 + -8x = 21 Add '3' to each side of the equation. -3 + 3 + -8x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 21 + 3 -8x = 21 + 3 Combine like terms: 21 + 3 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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