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Simplifying 4(x + 5) + -6 = 7x + -3(x + 2) Reorder the terms: 4(5 + x) + -6 = 7x + -3(x + 2) (5 * 4 + x * 4) + -6 = 7x + -3(x + 2) (20 + 4x) + -6 = 7x + -3(x + 2) Reorder the terms: 20 + -6 + 4x = 7x + -3(x + 2) Combine like terms: 20 + -6 = 14 14 + 4x = 7x + -3(x + 2) Reorder the terms: 14 + 4x = 7x + -3(2 + x) 14 + 4x = 7x + (2 * -3 + x * -3) 14 + 4x = 7x + (-6 + -3x) Reorder the terms: 14 + 4x = -6 + 7x + -3x Combine like terms: 7x + -3x = 4x 14 + 4x = -6 + 4x Add '-4x' to each side of the equation. 14 + 4x + -4x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 0 = -6 + 4x + -4x 14 = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 14 = -6 + 0 14 = -6 Solving 14 = -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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