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Simplifying 4x + 2(x + -2) = 6(x + -2) + 18 Reorder the terms: 4x + 2(-2 + x) = 6(x + -2) + 18 4x + (-2 * 2 + x * 2) = 6(x + -2) + 18 4x + (-4 + 2x) = 6(x + -2) + 18 Reorder the terms: -4 + 4x + 2x = 6(x + -2) + 18 Combine like terms: 4x + 2x = 6x -4 + 6x = 6(x + -2) + 18 Reorder the terms: -4 + 6x = 6(-2 + x) + 18 -4 + 6x = (-2 * 6 + x * 6) + 18 -4 + 6x = (-12 + 6x) + 18 Reorder the terms: -4 + 6x = -12 + 18 + 6x Combine like terms: -12 + 18 = 6 -4 + 6x = 6 + 6x Add '-6x' to each side of the equation. -4 + 6x + -6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 0 = 6 + 6x + -6x -4 = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 = 6 + 0 -4 = 6 Solving -4 = 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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