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Simplifying 7(x + 5) + 3 = 11x + -4(x + -3) Reorder the terms: 7(5 + x) + 3 = 11x + -4(x + -3) (5 * 7 + x * 7) + 3 = 11x + -4(x + -3) (35 + 7x) + 3 = 11x + -4(x + -3) Reorder the terms: 35 + 3 + 7x = 11x + -4(x + -3) Combine like terms: 35 + 3 = 38 38 + 7x = 11x + -4(x + -3) Reorder the terms: 38 + 7x = 11x + -4(-3 + x) 38 + 7x = 11x + (-3 * -4 + x * -4) 38 + 7x = 11x + (12 + -4x) Reorder the terms: 38 + 7x = 12 + 11x + -4x Combine like terms: 11x + -4x = 7x 38 + 7x = 12 + 7x Add '-7x' to each side of the equation. 38 + 7x + -7x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 38 + 0 = 12 + 7x + -7x 38 = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 38 = 12 + 0 38 = 12 Solving 38 = 12 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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