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Simplifying 3(5 + -2x) + -2(x + -3) = 1 + -1(8x + 3) (5 * 3 + -2x * 3) + -2(x + -3) = 1 + -1(8x + 3) (15 + -6x) + -2(x + -3) = 1 + -1(8x + 3) Reorder the terms: 15 + -6x + -2(-3 + x) = 1 + -1(8x + 3) 15 + -6x + (-3 * -2 + x * -2) = 1 + -1(8x + 3) 15 + -6x + (6 + -2x) = 1 + -1(8x + 3) Reorder the terms: 15 + 6 + -6x + -2x = 1 + -1(8x + 3) Combine like terms: 15 + 6 = 21 21 + -6x + -2x = 1 + -1(8x + 3) Combine like terms: -6x + -2x = -8x 21 + -8x = 1 + -1(8x + 3) Reorder the terms: 21 + -8x = 1 + -1(3 + 8x) 21 + -8x = 1 + (3 * -1 + 8x * -1) 21 + -8x = 1 + (-3 + -8x) Combine like terms: 1 + -3 = -2 21 + -8x = -2 + -8x Add '8x' to each side of the equation. 21 + -8x + 8x = -2 + -8x + 8x Combine like terms: -8x + 8x = 0 21 + 0 = -2 + -8x + 8x 21 = -2 + -8x + 8x Combine like terms: -8x + 8x = 0 21 = -2 + 0 21 = -2 Solving 21 = -2 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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