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Simplifying 4 + -5(2x + 3) = 8x + -1[9(2x + -6) + 7] + -2 Reorder the terms: 4 + -5(3 + 2x) = 8x + -1[9(2x + -6) + 7] + -2 4 + (3 * -5 + 2x * -5) = 8x + -1[9(2x + -6) + 7] + -2 4 + (-15 + -10x) = 8x + -1[9(2x + -6) + 7] + -2 Combine like terms: 4 + -15 = -11 -11 + -10x = 8x + -1[9(2x + -6) + 7] + -2 Reorder the terms: -11 + -10x = 8x + -1[9(-6 + 2x) + 7] + -2 -11 + -10x = 8x + -1[(-6 * 9 + 2x * 9) + 7] + -2 -11 + -10x = 8x + -1[(-54 + 18x) + 7] + -2 Reorder the terms: -11 + -10x = 8x + -1[-54 + 7 + 18x] + -2 Combine like terms: -54 + 7 = -47 -11 + -10x = 8x + -1[-47 + 18x] + -2 -11 + -10x = 8x + [-47 * -1 + 18x * -1] + -2 -11 + -10x = 8x + [47 + -18x] + -2 Reorder the terms: -11 + -10x = 47 + -2 + 8x + -18x Combine like terms: 47 + -2 = 45 -11 + -10x = 45 + 8x + -18x Combine like terms: 8x + -18x = -10x -11 + -10x = 45 + -10x Add '10x' to each side of the equation. -11 + -10x + 10x = 45 + -10x + 10x Combine like terms: -10x + 10x = 0 -11 + 0 = 45 + -10x + 10x -11 = 45 + -10x + 10x Combine like terms: -10x + 10x = 0 -11 = 45 + 0 -11 = 45 Solving -11 = 45 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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