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Simplifying -3x + -2(x + 1) = -2(2x + 3) Reorder the terms: -3x + -2(1 + x) = -2(2x + 3) -3x + (1 * -2 + x * -2) = -2(2x + 3) -3x + (-2 + -2x) = -2(2x + 3) Reorder the terms: -2 + -3x + -2x = -2(2x + 3) Combine like terms: -3x + -2x = -5x -2 + -5x = -2(2x + 3) Reorder the terms: -2 + -5x = -2(3 + 2x) -2 + -5x = (3 * -2 + 2x * -2) -2 + -5x = (-6 + -4x) Solving -2 + -5x = -6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + -5x + 4x = -6 + -4x + 4x Combine like terms: -5x + 4x = -1x -2 + -1x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + -1x = -6 + 0 -2 + -1x = -6 Add '2' to each side of the equation. -2 + 2 + -1x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -6 + 2 -1x = -6 + 2 Combine like terms: -6 + 2 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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