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Simplifying 2(2x + -3) + -2x2 = (3 + -2x) * x Reorder the terms: 2(-3 + 2x) + -2x2 = (3 + -2x) * x (-3 * 2 + 2x * 2) + -2x2 = (3 + -2x) * x (-6 + 4x) + -2x2 = (3 + -2x) * x Reorder the terms for easier multiplication: -6 + 4x + -2x2 = x(3 + -2x) -6 + 4x + -2x2 = (3 * x + -2x * x) -6 + 4x + -2x2 = (3x + -2x2) Add '2x2' to each side of the equation. -6 + 4x + -2x2 + 2x2 = 3x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -6 + 4x + 0 = 3x + -2x2 + 2x2 -6 + 4x = 3x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -6 + 4x = 3x + 0 -6 + 4x = 3x Solving -6 + 4x = 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. -6 + 4x + -3x = 3x + -3x Combine like terms: 4x + -3x = 1x -6 + 1x = 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 1x = 0 Add '6' to each side of the equation. -6 + 6 + 1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 0 + 6 1x = 0 + 6 Combine like terms: 0 + 6 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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