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Simplifying 3(x + 5) + -1x = 4x + -1(2x + 5) Reorder the terms: 3(5 + x) + -1x = 4x + -1(2x + 5) (5 * 3 + x * 3) + -1x = 4x + -1(2x + 5) (15 + 3x) + -1x = 4x + -1(2x + 5) Combine like terms: 3x + -1x = 2x 15 + 2x = 4x + -1(2x + 5) Reorder the terms: 15 + 2x = 4x + -1(5 + 2x) 15 + 2x = 4x + (5 * -1 + 2x * -1) 15 + 2x = 4x + (-5 + -2x) Reorder the terms: 15 + 2x = -5 + 4x + -2x Combine like terms: 4x + -2x = 2x 15 + 2x = -5 + 2x Add '-2x' to each side of the equation. 15 + 2x + -2x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 0 = -5 + 2x + -2x 15 = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 15 = -5 + 0 15 = -5 Solving 15 = -5 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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