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Simplifying 5(x + 4) + -2(1 + -3x) = 11x + -7 Reorder the terms: 5(4 + x) + -2(1 + -3x) = 11x + -7 (4 * 5 + x * 5) + -2(1 + -3x) = 11x + -7 (20 + 5x) + -2(1 + -3x) = 11x + -7 20 + 5x + (1 * -2 + -3x * -2) = 11x + -7 20 + 5x + (-2 + 6x) = 11x + -7 Reorder the terms: 20 + -2 + 5x + 6x = 11x + -7 Combine like terms: 20 + -2 = 18 18 + 5x + 6x = 11x + -7 Combine like terms: 5x + 6x = 11x 18 + 11x = 11x + -7 Reorder the terms: 18 + 11x = -7 + 11x Add '-11x' to each side of the equation. 18 + 11x + -11x = -7 + 11x + -11x Combine like terms: 11x + -11x = 0 18 + 0 = -7 + 11x + -11x 18 = -7 + 11x + -11x Combine like terms: 11x + -11x = 0 18 = -7 + 0 18 = -7 Solving 18 = -7 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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