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Simplifying 5(2x + -9) + 11 = 12x + -2(x + 18) + 1 Reorder the terms: 5(-9 + 2x) + 11 = 12x + -2(x + 18) + 1 (-9 * 5 + 2x * 5) + 11 = 12x + -2(x + 18) + 1 (-45 + 10x) + 11 = 12x + -2(x + 18) + 1 Reorder the terms: -45 + 11 + 10x = 12x + -2(x + 18) + 1 Combine like terms: -45 + 11 = -34 -34 + 10x = 12x + -2(x + 18) + 1 Reorder the terms: -34 + 10x = 12x + -2(18 + x) + 1 -34 + 10x = 12x + (18 * -2 + x * -2) + 1 -34 + 10x = 12x + (-36 + -2x) + 1 Reorder the terms: -34 + 10x = -36 + 1 + 12x + -2x Combine like terms: -36 + 1 = -35 -34 + 10x = -35 + 12x + -2x Combine like terms: 12x + -2x = 10x -34 + 10x = -35 + 10x Add '-10x' to each side of the equation. -34 + 10x + -10x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 -34 + 0 = -35 + 10x + -10x -34 = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 -34 = -35 + 0 -34 = -35 Solving -34 = -35 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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