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Simplifying (7x2 + 4x + 3) + -1(7x2 + -4) = 7x + -3 Reorder the terms: (3 + 4x + 7x2) + -1(7x2 + -4) = 7x + -3 Remove parenthesis around (3 + 4x + 7x2) 3 + 4x + 7x2 + -1(7x2 + -4) = 7x + -3 Reorder the terms: 3 + 4x + 7x2 + -1(-4 + 7x2) = 7x + -3 3 + 4x + 7x2 + (-4 * -1 + 7x2 * -1) = 7x + -3 3 + 4x + 7x2 + (4 + -7x2) = 7x + -3 Reorder the terms: 3 + 4 + 4x + 7x2 + -7x2 = 7x + -3 Combine like terms: 3 + 4 = 7 7 + 4x + 7x2 + -7x2 = 7x + -3 Combine like terms: 7x2 + -7x2 = 0 7 + 4x + 0 = 7x + -3 7 + 4x = 7x + -3 Reorder the terms: 7 + 4x = -3 + 7x Solving 7 + 4x = -3 + 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. 7 + 4x + -7x = -3 + 7x + -7x Combine like terms: 4x + -7x = -3x 7 + -3x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -3x = -3 + 0 7 + -3x = -3 Add '-7' to each side of the equation. 7 + -7 + -3x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -3 + -7 -3x = -3 + -7 Combine like terms: -3 + -7 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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