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Simplifying 3x2 + 77 = 3x(x + 2) + x + -3x Reorder the terms: 77 + 3x2 = 3x(x + 2) + x + -3x Reorder the terms: 77 + 3x2 = 3x(2 + x) + x + -3x 77 + 3x2 = (2 * 3x + x * 3x) + x + -3x 77 + 3x2 = (6x + 3x2) + x + -3x Reorder the terms: 77 + 3x2 = 6x + x + -3x + 3x2 Combine like terms: 6x + x = 7x 77 + 3x2 = 7x + -3x + 3x2 Combine like terms: 7x + -3x = 4x 77 + 3x2 = 4x + 3x2 Add '-3x2' to each side of the equation. 77 + 3x2 + -3x2 = 4x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 77 + 0 = 4x + 3x2 + -3x2 77 = 4x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 77 = 4x + 0 77 = 4x Solving 77 = 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. 77 + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 77 + -4x = 0 Add '-77' to each side of the equation. 77 + -77 + -4x = 0 + -77 Combine like terms: 77 + -77 = 0 0 + -4x = 0 + -77 -4x = 0 + -77 Combine like terms: 0 + -77 = -77 -4x = -77 Divide each side by '-4'. x = 19.25 Simplifying x = 19.25
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