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Simplifying -1x(4 + x) + 3 = x(7 + -1x) + 5(x + -9) (4 * -1x + x * -1x) + 3 = x(7 + -1x) + 5(x + -9) (-4x + -1x2) + 3 = x(7 + -1x) + 5(x + -9) Reorder the terms: 3 + -4x + -1x2 = x(7 + -1x) + 5(x + -9) 3 + -4x + -1x2 = (7 * x + -1x * x) + 5(x + -9) 3 + -4x + -1x2 = (7x + -1x2) + 5(x + -9) Reorder the terms: 3 + -4x + -1x2 = 7x + -1x2 + 5(-9 + x) 3 + -4x + -1x2 = 7x + -1x2 + (-9 * 5 + x * 5) 3 + -4x + -1x2 = 7x + -1x2 + (-45 + 5x) Reorder the terms: 3 + -4x + -1x2 = -45 + 7x + 5x + -1x2 Combine like terms: 7x + 5x = 12x 3 + -4x + -1x2 = -45 + 12x + -1x2 Add 'x2' to each side of the equation. 3 + -4x + -1x2 + x2 = -45 + 12x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 3 + -4x + 0 = -45 + 12x + -1x2 + x2 3 + -4x = -45 + 12x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 3 + -4x = -45 + 12x + 0 3 + -4x = -45 + 12x Solving 3 + -4x = -45 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + -4x + -12x = -45 + 12x + -12x Combine like terms: -4x + -12x = -16x 3 + -16x = -45 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -16x = -45 + 0 3 + -16x = -45 Add '-3' to each side of the equation. 3 + -3 + -16x = -45 + -3 Combine like terms: 3 + -3 = 0 0 + -16x = -45 + -3 -16x = -45 + -3 Combine like terms: -45 + -3 = -48 -16x = -48 Divide each side by '-16'. x = 3 Simplifying x = 3
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