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Simplifying 4(x + 3) = -6(7 + 5x) + 34x Reorder the terms: 4(3 + x) = -6(7 + 5x) + 34x (3 * 4 + x * 4) = -6(7 + 5x) + 34x (12 + 4x) = -6(7 + 5x) + 34x 12 + 4x = (7 * -6 + 5x * -6) + 34x 12 + 4x = (-42 + -30x) + 34x Combine like terms: -30x + 34x = 4x 12 + 4x = -42 + 4x Add '-4x' to each side of the equation. 12 + 4x + -4x = -42 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 0 = -42 + 4x + -4x 12 = -42 + 4x + -4x Combine like terms: 4x + -4x = 0 12 = -42 + 0 12 = -42 Solving 12 = -42 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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