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Simplifying (6x2 + 5x + 3) + -1(6x2 + -5) = 7x + -5 Reorder the terms: (3 + 5x + 6x2) + -1(6x2 + -5) = 7x + -5 Remove parenthesis around (3 + 5x + 6x2) 3 + 5x + 6x2 + -1(6x2 + -5) = 7x + -5 Reorder the terms: 3 + 5x + 6x2 + -1(-5 + 6x2) = 7x + -5 3 + 5x + 6x2 + (-5 * -1 + 6x2 * -1) = 7x + -5 3 + 5x + 6x2 + (5 + -6x2) = 7x + -5 Reorder the terms: 3 + 5 + 5x + 6x2 + -6x2 = 7x + -5 Combine like terms: 3 + 5 = 8 8 + 5x + 6x2 + -6x2 = 7x + -5 Combine like terms: 6x2 + -6x2 = 0 8 + 5x + 0 = 7x + -5 8 + 5x = 7x + -5 Reorder the terms: 8 + 5x = -5 + 7x Solving 8 + 5x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 5x + -7x = -5 + 7x + -7x Combine like terms: 5x + -7x = -2x 8 + -2x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -2x = -5 + 0 8 + -2x = -5 Add '-8' to each side of the equation. 8 + -8 + -2x = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -5 + -8 -2x = -5 + -8 Combine like terms: -5 + -8 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5
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