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Simplifying 8(x + 1) + -4x = 2(2x + 3) + -12 Reorder the terms: 8(1 + x) + -4x = 2(2x + 3) + -12 (1 * 8 + x * 8) + -4x = 2(2x + 3) + -12 (8 + 8x) + -4x = 2(2x + 3) + -12 Combine like terms: 8x + -4x = 4x 8 + 4x = 2(2x + 3) + -12 Reorder the terms: 8 + 4x = 2(3 + 2x) + -12 8 + 4x = (3 * 2 + 2x * 2) + -12 8 + 4x = (6 + 4x) + -12 Reorder the terms: 8 + 4x = 6 + -12 + 4x Combine like terms: 6 + -12 = -6 8 + 4x = -6 + 4x Add '-4x' to each side of the equation. 8 + 4x + -4x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 0 = -6 + 4x + -4x 8 = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 8 = -6 + 0 8 = -6 Solving 8 = -6 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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