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Simplifying 8(x + 4) + 2 = 14x + -6(x + 3) Reorder the terms: 8(4 + x) + 2 = 14x + -6(x + 3) (4 * 8 + x * 8) + 2 = 14x + -6(x + 3) (32 + 8x) + 2 = 14x + -6(x + 3) Reorder the terms: 32 + 2 + 8x = 14x + -6(x + 3) Combine like terms: 32 + 2 = 34 34 + 8x = 14x + -6(x + 3) Reorder the terms: 34 + 8x = 14x + -6(3 + x) 34 + 8x = 14x + (3 * -6 + x * -6) 34 + 8x = 14x + (-18 + -6x) Reorder the terms: 34 + 8x = -18 + 14x + -6x Combine like terms: 14x + -6x = 8x 34 + 8x = -18 + 8x Add '-8x' to each side of the equation. 34 + 8x + -8x = -18 + 8x + -8x Combine like terms: 8x + -8x = 0 34 + 0 = -18 + 8x + -8x 34 = -18 + 8x + -8x Combine like terms: 8x + -8x = 0 34 = -18 + 0 34 = -18 Solving 34 = -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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