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Simplifying 2(3x + 1) + -4(x + -1) = 11x + -7 + -3(3x + -5) Reorder the terms: 2(1 + 3x) + -4(x + -1) = 11x + -7 + -3(3x + -5) (1 * 2 + 3x * 2) + -4(x + -1) = 11x + -7 + -3(3x + -5) (2 + 6x) + -4(x + -1) = 11x + -7 + -3(3x + -5) Reorder the terms: 2 + 6x + -4(-1 + x) = 11x + -7 + -3(3x + -5) 2 + 6x + (-1 * -4 + x * -4) = 11x + -7 + -3(3x + -5) 2 + 6x + (4 + -4x) = 11x + -7 + -3(3x + -5) Reorder the terms: 2 + 4 + 6x + -4x = 11x + -7 + -3(3x + -5) Combine like terms: 2 + 4 = 6 6 + 6x + -4x = 11x + -7 + -3(3x + -5) Combine like terms: 6x + -4x = 2x 6 + 2x = 11x + -7 + -3(3x + -5) Reorder the terms: 6 + 2x = 11x + -7 + -3(-5 + 3x) 6 + 2x = 11x + -7 + (-5 * -3 + 3x * -3) 6 + 2x = 11x + -7 + (15 + -9x) Reorder the terms: 6 + 2x = -7 + 15 + 11x + -9x Combine like terms: -7 + 15 = 8 6 + 2x = 8 + 11x + -9x Combine like terms: 11x + -9x = 2x 6 + 2x = 8 + 2x Add '-2x' to each side of the equation. 6 + 2x + -2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 0 = 8 + 2x + -2x 6 = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 6 = 8 + 0 6 = 8 Solving 6 = 8 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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