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Simplifying 5(3x + 4) + -2x = 7x + -3(-2x + 1) Reorder the terms: 5(4 + 3x) + -2x = 7x + -3(-2x + 1) (4 * 5 + 3x * 5) + -2x = 7x + -3(-2x + 1) (20 + 15x) + -2x = 7x + -3(-2x + 1) Combine like terms: 15x + -2x = 13x 20 + 13x = 7x + -3(-2x + 1) Reorder the terms: 20 + 13x = 7x + -3(1 + -2x) 20 + 13x = 7x + (1 * -3 + -2x * -3) 20 + 13x = 7x + (-3 + 6x) Reorder the terms: 20 + 13x = -3 + 7x + 6x Combine like terms: 7x + 6x = 13x 20 + 13x = -3 + 13x Add '-13x' to each side of the equation. 20 + 13x + -13x = -3 + 13x + -13x Combine like terms: 13x + -13x = 0 20 + 0 = -3 + 13x + -13x 20 = -3 + 13x + -13x Combine like terms: 13x + -13x = 0 20 = -3 + 0 20 = -3 Solving 20 = -3 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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