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Simplifying 47 + -1x(3x + 4) = 2(17 + -2x) Reorder the terms: 47 + -1x(4 + 3x) = 2(17 + -2x) 47 + (4 * -1x + 3x * -1x) = 2(17 + -2x) 47 + (-4x + -3x2) = 2(17 + -2x) 47 + -4x + -3x2 = (17 * 2 + -2x * 2) 47 + -4x + -3x2 = (34 + -4x) Add '4x' to each side of the equation. 47 + -4x + 4x + -3x2 = 34 + -4x + 4x Combine like terms: -4x + 4x = 0 47 + 0 + -3x2 = 34 + -4x + 4x 47 + -3x2 = 34 + -4x + 4x Combine like terms: -4x + 4x = 0 47 + -3x2 = 34 + 0 47 + -3x2 = 34 Solving 47 + -3x2 = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -3x2 = 34 + -47 Combine like terms: 47 + -47 = 0 0 + -3x2 = 34 + -47 -3x2 = 34 + -47 Combine like terms: 34 + -47 = -13 -3x2 = -13 Divide each side by '-3'. x2 = 4.333333333 Simplifying x2 = 4.333333333 Take the square root of each side: x = {-2.081665999, 2.081665999}
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