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Simplifying 5(x + 3) + 2(1 + -1x) = 3(x + -11) Reorder the terms: 5(3 + x) + 2(1 + -1x) = 3(x + -11) (3 * 5 + x * 5) + 2(1 + -1x) = 3(x + -11) (15 + 5x) + 2(1 + -1x) = 3(x + -11) 15 + 5x + (1 * 2 + -1x * 2) = 3(x + -11) 15 + 5x + (2 + -2x) = 3(x + -11) Reorder the terms: 15 + 2 + 5x + -2x = 3(x + -11) Combine like terms: 15 + 2 = 17 17 + 5x + -2x = 3(x + -11) Combine like terms: 5x + -2x = 3x 17 + 3x = 3(x + -11) Reorder the terms: 17 + 3x = 3(-11 + x) 17 + 3x = (-11 * 3 + x * 3) 17 + 3x = (-33 + 3x) Add '-3x' to each side of the equation. 17 + 3x + -3x = -33 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + 0 = -33 + 3x + -3x 17 = -33 + 3x + -3x Combine like terms: 3x + -3x = 0 17 = -33 + 0 17 = -33 Solving 17 = -33 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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