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Simplifying 7(x + 3) + 5 = 5(x + -6) + x + -4 + x Reorder the terms: 7(3 + x) + 5 = 5(x + -6) + x + -4 + x (3 * 7 + x * 7) + 5 = 5(x + -6) + x + -4 + x (21 + 7x) + 5 = 5(x + -6) + x + -4 + x Reorder the terms: 21 + 5 + 7x = 5(x + -6) + x + -4 + x Combine like terms: 21 + 5 = 26 26 + 7x = 5(x + -6) + x + -4 + x Reorder the terms: 26 + 7x = 5(-6 + x) + x + -4 + x 26 + 7x = (-6 * 5 + x * 5) + x + -4 + x 26 + 7x = (-30 + 5x) + x + -4 + x Reorder the terms: 26 + 7x = -30 + -4 + 5x + x + x Combine like terms: -30 + -4 = -34 26 + 7x = -34 + 5x + x + x Combine like terms: 5x + x = 6x 26 + 7x = -34 + 6x + x Combine like terms: 6x + x = 7x 26 + 7x = -34 + 7x Add '-7x' to each side of the equation. 26 + 7x + -7x = -34 + 7x + -7x Combine like terms: 7x + -7x = 0 26 + 0 = -34 + 7x + -7x 26 = -34 + 7x + -7x Combine like terms: 7x + -7x = 0 26 = -34 + 0 26 = -34 Solving 26 = -34 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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