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