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Simplifying 15(x + -3) + 3x = 6(3x + 5) + -11 Reorder the terms: 15(-3 + x) + 3x = 6(3x + 5) + -11 (-3 * 15 + x * 15) + 3x = 6(3x + 5) + -11 (-45 + 15x) + 3x = 6(3x + 5) + -11 Combine like terms: 15x + 3x = 18x -45 + 18x = 6(3x + 5) + -11 Reorder the terms: -45 + 18x = 6(5 + 3x) + -11 -45 + 18x = (5 * 6 + 3x * 6) + -11 -45 + 18x = (30 + 18x) + -11 Reorder the terms: -45 + 18x = 30 + -11 + 18x Combine like terms: 30 + -11 = 19 -45 + 18x = 19 + 18x Add '-18x' to each side of the equation. -45 + 18x + -18x = 19 + 18x + -18x Combine like terms: 18x + -18x = 0 -45 + 0 = 19 + 18x + -18x -45 = 19 + 18x + -18x Combine like terms: 18x + -18x = 0 -45 = 19 + 0 -45 = 19 Solving -45 = 19 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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