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Simplifying 4(3x + 1) + 6 = 5 + 2(6x + -5) Reorder the terms: 4(1 + 3x) + 6 = 5 + 2(6x + -5) (1 * 4 + 3x * 4) + 6 = 5 + 2(6x + -5) (4 + 12x) + 6 = 5 + 2(6x + -5) Reorder the terms: 4 + 6 + 12x = 5 + 2(6x + -5) Combine like terms: 4 + 6 = 10 10 + 12x = 5 + 2(6x + -5) Reorder the terms: 10 + 12x = 5 + 2(-5 + 6x) 10 + 12x = 5 + (-5 * 2 + 6x * 2) 10 + 12x = 5 + (-10 + 12x) Combine like terms: 5 + -10 = -5 10 + 12x = -5 + 12x Add '-12x' to each side of the equation. 10 + 12x + -12x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + 0 = -5 + 12x + -12x 10 = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 10 = -5 + 0 10 = -5 Solving 10 = -5 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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