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Simplifying 15x + -6(x + 3) = 5(3x + -3) + -6(x + -4) Reorder the terms: 15x + -6(3 + x) = 5(3x + -3) + -6(x + -4) 15x + (3 * -6 + x * -6) = 5(3x + -3) + -6(x + -4) 15x + (-18 + -6x) = 5(3x + -3) + -6(x + -4) Reorder the terms: -18 + 15x + -6x = 5(3x + -3) + -6(x + -4) Combine like terms: 15x + -6x = 9x -18 + 9x = 5(3x + -3) + -6(x + -4) Reorder the terms: -18 + 9x = 5(-3 + 3x) + -6(x + -4) -18 + 9x = (-3 * 5 + 3x * 5) + -6(x + -4) -18 + 9x = (-15 + 15x) + -6(x + -4) Reorder the terms: -18 + 9x = -15 + 15x + -6(-4 + x) -18 + 9x = -15 + 15x + (-4 * -6 + x * -6) -18 + 9x = -15 + 15x + (24 + -6x) Reorder the terms: -18 + 9x = -15 + 24 + 15x + -6x Combine like terms: -15 + 24 = 9 -18 + 9x = 9 + 15x + -6x Combine like terms: 15x + -6x = 9x -18 + 9x = 9 + 9x Add '-9x' to each side of the equation. -18 + 9x + -9x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + 0 = 9 + 9x + -9x -18 = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 = 9 + 0 -18 = 9 Solving -18 = 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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