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Simplifying 4x + 4(x + 3) = 12 + 8(x + -7) Reorder the terms: 4x + 4(3 + x) = 12 + 8(x + -7) 4x + (3 * 4 + x * 4) = 12 + 8(x + -7) 4x + (12 + 4x) = 12 + 8(x + -7) Reorder the terms: 12 + 4x + 4x = 12 + 8(x + -7) Combine like terms: 4x + 4x = 8x 12 + 8x = 12 + 8(x + -7) Reorder the terms: 12 + 8x = 12 + 8(-7 + x) 12 + 8x = 12 + (-7 * 8 + x * 8) 12 + 8x = 12 + (-56 + 8x) Combine like terms: 12 + -56 = -44 12 + 8x = -44 + 8x Add '-8x' to each side of the equation. 12 + 8x + -8x = -44 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + 0 = -44 + 8x + -8x 12 = -44 + 8x + -8x Combine like terms: 8x + -8x = 0 12 = -44 + 0 12 = -44 Solving 12 = -44 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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