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