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Simplifying 5 + -2(x + 8) = -4(x + 1) + 2x + 7 Reorder the terms: 5 + -2(8 + x) = -4(x + 1) + 2x + 7 5 + (8 * -2 + x * -2) = -4(x + 1) + 2x + 7 5 + (-16 + -2x) = -4(x + 1) + 2x + 7 Combine like terms: 5 + -16 = -11 -11 + -2x = -4(x + 1) + 2x + 7 Reorder the terms: -11 + -2x = -4(1 + x) + 2x + 7 -11 + -2x = (1 * -4 + x * -4) + 2x + 7 -11 + -2x = (-4 + -4x) + 2x + 7 Reorder the terms: -11 + -2x = -4 + 7 + -4x + 2x Combine like terms: -4 + 7 = 3 -11 + -2x = 3 + -4x + 2x Combine like terms: -4x + 2x = -2x -11 + -2x = 3 + -2x Add '2x' to each side of the equation. -11 + -2x + 2x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + 0 = 3 + -2x + 2x -11 = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 = 3 + 0 -11 = 3 Solving -11 = 3 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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