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