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Simplifying 4x2 + -6x = 4x2 + -6x + 2x + -3 Reorder the terms: -6x + 4x2 = 4x2 + -6x + 2x + -3 Reorder the terms: -6x + 4x2 = -3 + -6x + 2x + 4x2 Combine like terms: -6x + 2x = -4x -6x + 4x2 = -3 + -4x + 4x2 Add '-4x2' to each side of the equation. -6x + 4x2 + -4x2 = -3 + -4x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6x + 0 = -3 + -4x + 4x2 + -4x2 -6x = -3 + -4x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6x = -3 + -4x + 0 -6x = -3 + -4x Solving -6x = -3 + -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. -6x + 4x = -3 + -4x + 4x Combine like terms: -6x + 4x = -2x -2x = -3 + -4x + 4x Combine like terms: -4x + 4x = 0 -2x = -3 + 0 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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