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Simplifying 4(x + 6) + 5 = 7x + -3(x + -4) Reorder the terms: 4(6 + x) + 5 = 7x + -3(x + -4) (6 * 4 + x * 4) + 5 = 7x + -3(x + -4) (24 + 4x) + 5 = 7x + -3(x + -4) Reorder the terms: 24 + 5 + 4x = 7x + -3(x + -4) Combine like terms: 24 + 5 = 29 29 + 4x = 7x + -3(x + -4) Reorder the terms: 29 + 4x = 7x + -3(-4 + x) 29 + 4x = 7x + (-4 * -3 + x * -3) 29 + 4x = 7x + (12 + -3x) Reorder the terms: 29 + 4x = 12 + 7x + -3x Combine like terms: 7x + -3x = 4x 29 + 4x = 12 + 4x Add '-4x' to each side of the equation. 29 + 4x + -4x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 29 + 0 = 12 + 4x + -4x 29 = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 29 = 12 + 0 29 = 12 Solving 29 = 12 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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