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Simplifying -2(x + 3) + 34 = 3x + -5(x + -2) Reorder the terms: -2(3 + x) + 34 = 3x + -5(x + -2) (3 * -2 + x * -2) + 34 = 3x + -5(x + -2) (-6 + -2x) + 34 = 3x + -5(x + -2) Reorder the terms: -6 + 34 + -2x = 3x + -5(x + -2) Combine like terms: -6 + 34 = 28 28 + -2x = 3x + -5(x + -2) Reorder the terms: 28 + -2x = 3x + -5(-2 + x) 28 + -2x = 3x + (-2 * -5 + x * -5) 28 + -2x = 3x + (10 + -5x) Reorder the terms: 28 + -2x = 10 + 3x + -5x Combine like terms: 3x + -5x = -2x 28 + -2x = 10 + -2x Add '2x' to each side of the equation. 28 + -2x + 2x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 28 + 0 = 10 + -2x + 2x 28 = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 28 = 10 + 0 28 = 10 Solving 28 = 10 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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