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Simplifying 4(x + 6) + 33 = 7x + -3(x + -9) Reorder the terms: 4(6 + x) + 33 = 7x + -3(x + -9) (6 * 4 + x * 4) + 33 = 7x + -3(x + -9) (24 + 4x) + 33 = 7x + -3(x + -9) Reorder the terms: 24 + 33 + 4x = 7x + -3(x + -9) Combine like terms: 24 + 33 = 57 57 + 4x = 7x + -3(x + -9) Reorder the terms: 57 + 4x = 7x + -3(-9 + x) 57 + 4x = 7x + (-9 * -3 + x * -3) 57 + 4x = 7x + (27 + -3x) Reorder the terms: 57 + 4x = 27 + 7x + -3x Combine like terms: 7x + -3x = 4x 57 + 4x = 27 + 4x Add '-4x' to each side of the equation. 57 + 4x + -4x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 57 + 0 = 27 + 4x + -4x 57 = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 57 = 27 + 0 57 = 27 Solving 57 = 27 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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