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Simplifying 4(x + 8) + 6 = 7x + -3(x + 6) Reorder the terms: 4(8 + x) + 6 = 7x + -3(x + 6) (8 * 4 + x * 4) + 6 = 7x + -3(x + 6) (32 + 4x) + 6 = 7x + -3(x + 6) Reorder the terms: 32 + 6 + 4x = 7x + -3(x + 6) Combine like terms: 32 + 6 = 38 38 + 4x = 7x + -3(x + 6) Reorder the terms: 38 + 4x = 7x + -3(6 + x) 38 + 4x = 7x + (6 * -3 + x * -3) 38 + 4x = 7x + (-18 + -3x) Reorder the terms: 38 + 4x = -18 + 7x + -3x Combine like terms: 7x + -3x = 4x 38 + 4x = -18 + 4x Add '-4x' to each side of the equation. 38 + 4x + -4x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 38 + 0 = -18 + 4x + -4x 38 = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 38 = -18 + 0 38 = -18 Solving 38 = -18 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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