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Simplifying 4(x + 3) + 2 = 6x + -2(-5 + x) Reorder the terms: 4(3 + x) + 2 = 6x + -2(-5 + x) (3 * 4 + x * 4) + 2 = 6x + -2(-5 + x) (12 + 4x) + 2 = 6x + -2(-5 + x) Reorder the terms: 12 + 2 + 4x = 6x + -2(-5 + x) Combine like terms: 12 + 2 = 14 14 + 4x = 6x + -2(-5 + x) 14 + 4x = 6x + (-5 * -2 + x * -2) 14 + 4x = 6x + (10 + -2x) Reorder the terms: 14 + 4x = 10 + 6x + -2x Combine like terms: 6x + -2x = 4x 14 + 4x = 10 + 4x Add '-4x' to each side of the equation. 14 + 4x + -4x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 0 = 10 + 4x + -4x 14 = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 14 = 10 + 0 14 = 10 Solving 14 = 10 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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