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Simplifying (8x2 + 7x + -4) + -1(8x2 + 3) = 49 Reorder the terms: (-4 + 7x + 8x2) + -1(8x2 + 3) = 49 Remove parenthesis around (-4 + 7x + 8x2) -4 + 7x + 8x2 + -1(8x2 + 3) = 49 Reorder the terms: -4 + 7x + 8x2 + -1(3 + 8x2) = 49 -4 + 7x + 8x2 + (3 * -1 + 8x2 * -1) = 49 -4 + 7x + 8x2 + (-3 + -8x2) = 49 Reorder the terms: -4 + -3 + 7x + 8x2 + -8x2 = 49 Combine like terms: -4 + -3 = -7 -7 + 7x + 8x2 + -8x2 = 49 Combine like terms: 8x2 + -8x2 = 0 -7 + 7x + 0 = 49 -7 + 7x = 49 Solving -7 + 7x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 7x = 49 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 49 + 7 7x = 49 + 7 Combine like terms: 49 + 7 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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