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Simplifying 3x + -1x + 12 + -6x = 4(5 + -2x) + -1(-4x) Reorder the terms: 12 + 3x + -1x + -6x = 4(5 + -2x) + -1(-4x) Combine like terms: 3x + -1x = 2x 12 + 2x + -6x = 4(5 + -2x) + -1(-4x) Combine like terms: 2x + -6x = -4x 12 + -4x = 4(5 + -2x) + -1(-4x) 12 + -4x = (5 * 4 + -2x * 4) + -1(-4x) 12 + -4x = (20 + -8x) + -1(-4x) Remove parenthesis around (-4x) 12 + -4x = 20 + -8x + -1 * -4x Multiply -1 * -4 12 + -4x = 20 + -8x + 4x Combine like terms: -8x + 4x = -4x 12 + -4x = 20 + -4x Add '4x' to each side of the equation. 12 + -4x + 4x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 0 = 20 + -4x + 4x 12 = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 12 = 20 + 0 12 = 20 Solving 12 = 20 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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