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Simplifying 3(5x + 1) = 4(6x + -1) + -3(3x + -2) Reorder the terms: 3(1 + 5x) = 4(6x + -1) + -3(3x + -2) (1 * 3 + 5x * 3) = 4(6x + -1) + -3(3x + -2) (3 + 15x) = 4(6x + -1) + -3(3x + -2) Reorder the terms: 3 + 15x = 4(-1 + 6x) + -3(3x + -2) 3 + 15x = (-1 * 4 + 6x * 4) + -3(3x + -2) 3 + 15x = (-4 + 24x) + -3(3x + -2) Reorder the terms: 3 + 15x = -4 + 24x + -3(-2 + 3x) 3 + 15x = -4 + 24x + (-2 * -3 + 3x * -3) 3 + 15x = -4 + 24x + (6 + -9x) Reorder the terms: 3 + 15x = -4 + 6 + 24x + -9x Combine like terms: -4 + 6 = 2 3 + 15x = 2 + 24x + -9x Combine like terms: 24x + -9x = 15x 3 + 15x = 2 + 15x Add '-15x' to each side of the equation. 3 + 15x + -15x = 2 + 15x + -15x Combine like terms: 15x + -15x = 0 3 + 0 = 2 + 15x + -15x 3 = 2 + 15x + -15x Combine like terms: 15x + -15x = 0 3 = 2 + 0 3 = 2 Solving 3 = 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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