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Simplifying 7(x + 3) + -13x = -6(x + -3) + -13 Reorder the terms: 7(3 + x) + -13x = -6(x + -3) + -13 (3 * 7 + x * 7) + -13x = -6(x + -3) + -13 (21 + 7x) + -13x = -6(x + -3) + -13 Combine like terms: 7x + -13x = -6x 21 + -6x = -6(x + -3) + -13 Reorder the terms: 21 + -6x = -6(-3 + x) + -13 21 + -6x = (-3 * -6 + x * -6) + -13 21 + -6x = (18 + -6x) + -13 Reorder the terms: 21 + -6x = 18 + -13 + -6x Combine like terms: 18 + -13 = 5 21 + -6x = 5 + -6x Add '6x' to each side of the equation. 21 + -6x + 6x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 21 + 0 = 5 + -6x + 6x 21 = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 21 = 5 + 0 21 = 5 Solving 21 = 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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