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Simplifying -3(2x + 3) + 2 = -2x + 1 Reorder the terms: -3(3 + 2x) + 2 = -2x + 1 (3 * -3 + 2x * -3) + 2 = -2x + 1 (-9 + -6x) + 2 = -2x + 1 Reorder the terms: -9 + 2 + -6x = -2x + 1 Combine like terms: -9 + 2 = -7 -7 + -6x = -2x + 1 Reorder the terms: -7 + -6x = 1 + -2x Solving -7 + -6x = 1 + -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. -7 + -6x + 2x = 1 + -2x + 2x Combine like terms: -6x + 2x = -4x -7 + -4x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + -4x = 1 + 0 -7 + -4x = 1 Add '7' to each side of the equation. -7 + 7 + -4x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 1 + 7 -4x = 1 + 7 Combine like terms: 1 + 7 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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