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Simplifying 6(x + 8) + 4 = 11x + -5(x + -3) Reorder the terms: 6(8 + x) + 4 = 11x + -5(x + -3) (8 * 6 + x * 6) + 4 = 11x + -5(x + -3) (48 + 6x) + 4 = 11x + -5(x + -3) Reorder the terms: 48 + 4 + 6x = 11x + -5(x + -3) Combine like terms: 48 + 4 = 52 52 + 6x = 11x + -5(x + -3) Reorder the terms: 52 + 6x = 11x + -5(-3 + x) 52 + 6x = 11x + (-3 * -5 + x * -5) 52 + 6x = 11x + (15 + -5x) Reorder the terms: 52 + 6x = 15 + 11x + -5x Combine like terms: 11x + -5x = 6x 52 + 6x = 15 + 6x Add '-6x' to each side of the equation. 52 + 6x + -6x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 52 + 0 = 15 + 6x + -6x 52 = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 52 = 15 + 0 52 = 15 Solving 52 = 15 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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