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Simplifying 4(x + 2) + -2(x + -4) = 16 + 2(x + -6) Reorder the terms: 4(2 + x) + -2(x + -4) = 16 + 2(x + -6) (2 * 4 + x * 4) + -2(x + -4) = 16 + 2(x + -6) (8 + 4x) + -2(x + -4) = 16 + 2(x + -6) Reorder the terms: 8 + 4x + -2(-4 + x) = 16 + 2(x + -6) 8 + 4x + (-4 * -2 + x * -2) = 16 + 2(x + -6) 8 + 4x + (8 + -2x) = 16 + 2(x + -6) Reorder the terms: 8 + 8 + 4x + -2x = 16 + 2(x + -6) Combine like terms: 8 + 8 = 16 16 + 4x + -2x = 16 + 2(x + -6) Combine like terms: 4x + -2x = 2x 16 + 2x = 16 + 2(x + -6) Reorder the terms: 16 + 2x = 16 + 2(-6 + x) 16 + 2x = 16 + (-6 * 2 + x * 2) 16 + 2x = 16 + (-12 + 2x) Combine like terms: 16 + -12 = 4 16 + 2x = 4 + 2x Add '-2x' to each side of the equation. 16 + 2x + -2x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 0 = 4 + 2x + -2x 16 = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 16 = 4 + 0 16 = 4 Solving 16 = 4 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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