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Simplifying 4x + -1(6x2 + -1x + -15) = 49 + -1(6x2 + -5x + 2) Reorder the terms: 4x + -1(-15 + -1x + 6x2) = 49 + -1(6x2 + -5x + 2) 4x + (-15 * -1 + -1x * -1 + 6x2 * -1) = 49 + -1(6x2 + -5x + 2) 4x + (15 + 1x + -6x2) = 49 + -1(6x2 + -5x + 2) Reorder the terms: 15 + 4x + 1x + -6x2 = 49 + -1(6x2 + -5x + 2) Combine like terms: 4x + 1x = 5x 15 + 5x + -6x2 = 49 + -1(6x2 + -5x + 2) Reorder the terms: 15 + 5x + -6x2 = 49 + -1(2 + -5x + 6x2) 15 + 5x + -6x2 = 49 + (2 * -1 + -5x * -1 + 6x2 * -1) 15 + 5x + -6x2 = 49 + (-2 + 5x + -6x2) Combine like terms: 49 + -2 = 47 15 + 5x + -6x2 = 47 + 5x + -6x2 Add '-5x' to each side of the equation. 15 + 5x + -5x + -6x2 = 47 + 5x + -5x + -6x2 Combine like terms: 5x + -5x = 0 15 + 0 + -6x2 = 47 + 5x + -5x + -6x2 15 + -6x2 = 47 + 5x + -5x + -6x2 Combine like terms: 5x + -5x = 0 15 + -6x2 = 47 + 0 + -6x2 15 + -6x2 = 47 + -6x2 Add '6x2' to each side of the equation. 15 + -6x2 + 6x2 = 47 + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 15 + 0 = 47 + -6x2 + 6x2 15 = 47 + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 15 = 47 + 0 15 = 47 Solving 15 = 47 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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