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Simplifying (4x2 + 5x + 2) + -1(4x2 + 3) = 7x + 18 Reorder the terms: (2 + 5x + 4x2) + -1(4x2 + 3) = 7x + 18 Remove parenthesis around (2 + 5x + 4x2) 2 + 5x + 4x2 + -1(4x2 + 3) = 7x + 18 Reorder the terms: 2 + 5x + 4x2 + -1(3 + 4x2) = 7x + 18 2 + 5x + 4x2 + (3 * -1 + 4x2 * -1) = 7x + 18 2 + 5x + 4x2 + (-3 + -4x2) = 7x + 18 Reorder the terms: 2 + -3 + 5x + 4x2 + -4x2 = 7x + 18 Combine like terms: 2 + -3 = -1 -1 + 5x + 4x2 + -4x2 = 7x + 18 Combine like terms: 4x2 + -4x2 = 0 -1 + 5x + 0 = 7x + 18 -1 + 5x = 7x + 18 Reorder the terms: -1 + 5x = 18 + 7x Solving -1 + 5x = 18 + 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. -1 + 5x + -7x = 18 + 7x + -7x Combine like terms: 5x + -7x = -2x -1 + -2x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -2x = 18 + 0 -1 + -2x = 18 Add '1' to each side of the equation. -1 + 1 + -2x = 18 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 18 + 1 -2x = 18 + 1 Combine like terms: 18 + 1 = 19 -2x = 19 Divide each side by '-2'. x = -9.5 Simplifying x = -9.5
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