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Simplifying 2(x + -7) + -3(5 + -3x2) = 2x + -1(2 + 3x)(2 + -3x) Reorder the terms: 2(-7 + x) + -3(5 + -3x2) = 2x + -1(2 + 3x)(2 + -3x) (-7 * 2 + x * 2) + -3(5 + -3x2) = 2x + -1(2 + 3x)(2 + -3x) (-14 + 2x) + -3(5 + -3x2) = 2x + -1(2 + 3x)(2 + -3x) -14 + 2x + (5 * -3 + -3x2 * -3) = 2x + -1(2 + 3x)(2 + -3x) -14 + 2x + (-15 + 9x2) = 2x + -1(2 + 3x)(2 + -3x) Reorder the terms: -14 + -15 + 2x + 9x2 = 2x + -1(2 + 3x)(2 + -3x) Combine like terms: -14 + -15 = -29 -29 + 2x + 9x2 = 2x + -1(2 + 3x)(2 + -3x) Multiply (2 + 3x) * (2 + -3x) -29 + 2x + 9x2 = 2x + -1(2(2 + -3x) + 3x * (2 + -3x)) -29 + 2x + 9x2 = 2x + -1((2 * 2 + -3x * 2) + 3x * (2 + -3x)) -29 + 2x + 9x2 = 2x + -1((4 + -6x) + 3x * (2 + -3x)) -29 + 2x + 9x2 = 2x + -1(4 + -6x + (2 * 3x + -3x * 3x)) -29 + 2x + 9x2 = 2x + -1(4 + -6x + (6x + -9x2)) Combine like terms: -6x + 6x = 0 -29 + 2x + 9x2 = 2x + -1(4 + 0 + -9x2) -29 + 2x + 9x2 = 2x + -1(4 + -9x2) -29 + 2x + 9x2 = 2x + (4 * -1 + -9x2 * -1) -29 + 2x + 9x2 = 2x + (-4 + 9x2) Reorder the terms: -29 + 2x + 9x2 = -4 + 2x + 9x2 Add '-2x' to each side of the equation. -29 + 2x + -2x + 9x2 = -4 + 2x + -2x + 9x2 Combine like terms: 2x + -2x = 0 -29 + 0 + 9x2 = -4 + 2x + -2x + 9x2 -29 + 9x2 = -4 + 2x + -2x + 9x2 Combine like terms: 2x + -2x = 0 -29 + 9x2 = -4 + 0 + 9x2 -29 + 9x2 = -4 + 9x2 Add '-9x2' to each side of the equation. -29 + 9x2 + -9x2 = -4 + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -29 + 0 = -4 + 9x2 + -9x2 -29 = -4 + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -29 = -4 + 0 -29 = -4 Solving -29 = -4 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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