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Simplifying 300 = (110x + -0.5x2) + -1(70x + -300) Remove parenthesis around (110x + -0.5x2) 300 = 110x + -0.5x2 + -1(70x + -300) Reorder the terms: 300 = 110x + -0.5x2 + -1(-300 + 70x) 300 = 110x + -0.5x2 + (-300 * -1 + 70x * -1) 300 = 110x + -0.5x2 + (300 + -70x) Reorder the terms: 300 = 300 + 110x + -70x + -0.5x2 Combine like terms: 110x + -70x = 40x 300 = 300 + 40x + -0.5x2 Add '-300' to each side of the equation. 300 + -300 = 300 + 40x + -300 + -0.5x2 Combine like terms: 300 + -300 = 0 0 = 300 + 40x + -300 + -0.5x2 Reorder the terms: 0 = 300 + -300 + 40x + -0.5x2 Combine like terms: 300 + -300 = 0 0 = 0 + 40x + -0.5x2 0 = 40x + -0.5x2 Solving 0 = 40x + -0.5x2 Solving for variable 'x'. Remove the zero: -40x + 0.5x2 = 40x + -0.5x2 + -40x + 0.5x2 Reorder the terms: -40x + 0.5x2 = 40x + -40x + -0.5x2 + 0.5x2 Combine like terms: 40x + -40x = 0 -40x + 0.5x2 = 0 + -0.5x2 + 0.5x2 -40x + 0.5x2 = -0.5x2 + 0.5x2 Combine like terms: -0.5x2 + 0.5x2 = 0.0 -40x + 0.5x2 = 0.0 The solution to this equation could not be determined.
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