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Simplifying 5(x + -3) + -11x = 10 + -6(x + 1) Reorder the terms: 5(-3 + x) + -11x = 10 + -6(x + 1) (-3 * 5 + x * 5) + -11x = 10 + -6(x + 1) (-15 + 5x) + -11x = 10 + -6(x + 1) Combine like terms: 5x + -11x = -6x -15 + -6x = 10 + -6(x + 1) Reorder the terms: -15 + -6x = 10 + -6(1 + x) -15 + -6x = 10 + (1 * -6 + x * -6) -15 + -6x = 10 + (-6 + -6x) Combine like terms: 10 + -6 = 4 -15 + -6x = 4 + -6x Add '6x' to each side of the equation. -15 + -6x + 6x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 0 = 4 + -6x + 6x -15 = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 = 4 + 0 -15 = 4 Solving -15 = 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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