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Simplifying 2x2 + 7x + -18 = x(2x + 1) Reorder the terms: -18 + 7x + 2x2 = x(2x + 1) Reorder the terms: -18 + 7x + 2x2 = x(1 + 2x) -18 + 7x + 2x2 = (1 * x + 2x * x) -18 + 7x + 2x2 = (1x + 2x2) Add '-2x2' to each side of the equation. -18 + 7x + 2x2 + -2x2 = 1x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -18 + 7x + 0 = 1x + 2x2 + -2x2 -18 + 7x = 1x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -18 + 7x = 1x + 0 -18 + 7x = 1x Solving -18 + 7x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + 7x + -1x = 1x + -1x Combine like terms: 7x + -1x = 6x -18 + 6x = 1x + -1x Combine like terms: 1x + -1x = 0 -18 + 6x = 0 Add '18' to each side of the equation. -18 + 18 + 6x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 0 + 18 6x = 0 + 18 Combine like terms: 0 + 18 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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