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Simplifying x(x + 35) + -50 = x(4 + x) + -2(x + 14) Reorder the terms: x(35 + x) + -50 = x(4 + x) + -2(x + 14) (35 * x + x * x) + -50 = x(4 + x) + -2(x + 14) (35x + x2) + -50 = x(4 + x) + -2(x + 14) Reorder the terms: -50 + 35x + x2 = x(4 + x) + -2(x + 14) -50 + 35x + x2 = (4 * x + x * x) + -2(x + 14) -50 + 35x + x2 = (4x + x2) + -2(x + 14) Reorder the terms: -50 + 35x + x2 = 4x + x2 + -2(14 + x) -50 + 35x + x2 = 4x + x2 + (14 * -2 + x * -2) -50 + 35x + x2 = 4x + x2 + (-28 + -2x) Reorder the terms: -50 + 35x + x2 = -28 + 4x + -2x + x2 Combine like terms: 4x + -2x = 2x -50 + 35x + x2 = -28 + 2x + x2 Add '-1x2' to each side of the equation. -50 + 35x + x2 + -1x2 = -28 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -50 + 35x + 0 = -28 + 2x + x2 + -1x2 -50 + 35x = -28 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -50 + 35x = -28 + 2x + 0 -50 + 35x = -28 + 2x Solving -50 + 35x = -28 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -50 + 35x + -2x = -28 + 2x + -2x Combine like terms: 35x + -2x = 33x -50 + 33x = -28 + 2x + -2x Combine like terms: 2x + -2x = 0 -50 + 33x = -28 + 0 -50 + 33x = -28 Add '50' to each side of the equation. -50 + 50 + 33x = -28 + 50 Combine like terms: -50 + 50 = 0 0 + 33x = -28 + 50 33x = -28 + 50 Combine like terms: -28 + 50 = 22 33x = 22 Divide each side by '33'. x = 0.6666666667 Simplifying x = 0.6666666667
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