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Simplifying (2x2 + 6x + 6) + (-2x2 + -5) = 4x + 8 Reorder the terms: (6 + 6x + 2x2) + (-2x2 + -5) = 4x + 8 Remove parenthesis around (6 + 6x + 2x2) 6 + 6x + 2x2 + (-2x2 + -5) = 4x + 8 Reorder the terms: 6 + 6x + 2x2 + (-5 + -2x2) = 4x + 8 Remove parenthesis around (-5 + -2x2) 6 + 6x + 2x2 + -5 + -2x2 = 4x + 8 Reorder the terms: 6 + -5 + 6x + 2x2 + -2x2 = 4x + 8 Combine like terms: 6 + -5 = 1 1 + 6x + 2x2 + -2x2 = 4x + 8 Combine like terms: 2x2 + -2x2 = 0 1 + 6x + 0 = 4x + 8 1 + 6x = 4x + 8 Reorder the terms: 1 + 6x = 8 + 4x Solving 1 + 6x = 8 + 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. 1 + 6x + -4x = 8 + 4x + -4x Combine like terms: 6x + -4x = 2x 1 + 2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 2x = 8 + 0 1 + 2x = 8 Add '-1' to each side of the equation. 1 + -1 + 2x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 8 + -1 2x = 8 + -1 Combine like terms: 8 + -1 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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