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