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Simplifying 4(x + 5) + 6 = 8x + -4(x + -3) Reorder the terms: 4(5 + x) + 6 = 8x + -4(x + -3) (5 * 4 + x * 4) + 6 = 8x + -4(x + -3) (20 + 4x) + 6 = 8x + -4(x + -3) Reorder the terms: 20 + 6 + 4x = 8x + -4(x + -3) Combine like terms: 20 + 6 = 26 26 + 4x = 8x + -4(x + -3) Reorder the terms: 26 + 4x = 8x + -4(-3 + x) 26 + 4x = 8x + (-3 * -4 + x * -4) 26 + 4x = 8x + (12 + -4x) Reorder the terms: 26 + 4x = 12 + 8x + -4x Combine like terms: 8x + -4x = 4x 26 + 4x = 12 + 4x Add '-4x' to each side of the equation. 26 + 4x + -4x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 26 + 0 = 12 + 4x + -4x 26 = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 26 = 12 + 0 26 = 12 Solving 26 = 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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