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Simplifying 18x + -7(x + 5) = 6(3x + -2) + -7(x + -3) Reorder the terms: 18x + -7(5 + x) = 6(3x + -2) + -7(x + -3) 18x + (5 * -7 + x * -7) = 6(3x + -2) + -7(x + -3) 18x + (-35 + -7x) = 6(3x + -2) + -7(x + -3) Reorder the terms: -35 + 18x + -7x = 6(3x + -2) + -7(x + -3) Combine like terms: 18x + -7x = 11x -35 + 11x = 6(3x + -2) + -7(x + -3) Reorder the terms: -35 + 11x = 6(-2 + 3x) + -7(x + -3) -35 + 11x = (-2 * 6 + 3x * 6) + -7(x + -3) -35 + 11x = (-12 + 18x) + -7(x + -3) Reorder the terms: -35 + 11x = -12 + 18x + -7(-3 + x) -35 + 11x = -12 + 18x + (-3 * -7 + x * -7) -35 + 11x = -12 + 18x + (21 + -7x) Reorder the terms: -35 + 11x = -12 + 21 + 18x + -7x Combine like terms: -12 + 21 = 9 -35 + 11x = 9 + 18x + -7x Combine like terms: 18x + -7x = 11x -35 + 11x = 9 + 11x Add '-11x' to each side of the equation. -35 + 11x + -11x = 9 + 11x + -11x Combine like terms: 11x + -11x = 0 -35 + 0 = 9 + 11x + -11x -35 = 9 + 11x + -11x Combine like terms: 11x + -11x = 0 -35 = 9 + 0 -35 = 9 Solving -35 = 9 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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