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Simplifying 7x2 + 2x + -3 = 6x(x + 4) + x2 Reorder the terms: -3 + 2x + 7x2 = 6x(x + 4) + x2 Reorder the terms: -3 + 2x + 7x2 = 6x(4 + x) + x2 -3 + 2x + 7x2 = (4 * 6x + x * 6x) + x2 -3 + 2x + 7x2 = (24x + 6x2) + x2 Combine like terms: 6x2 + x2 = 7x2 -3 + 2x + 7x2 = 24x + 7x2 Add '-7x2' to each side of the equation. -3 + 2x + 7x2 + -7x2 = 24x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -3 + 2x + 0 = 24x + 7x2 + -7x2 -3 + 2x = 24x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -3 + 2x = 24x + 0 -3 + 2x = 24x Solving -3 + 2x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -3 + 2x + -24x = 24x + -24x Combine like terms: 2x + -24x = -22x -3 + -22x = 24x + -24x Combine like terms: 24x + -24x = 0 -3 + -22x = 0 Add '3' to each side of the equation. -3 + 3 + -22x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -22x = 0 + 3 -22x = 0 + 3 Combine like terms: 0 + 3 = 3 -22x = 3 Divide each side by '-22'. x = -0.1363636364 Simplifying x = -0.1363636364
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