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Simplifying 4(x + 5) + 33 = 6x + -2(x + -9) Reorder the terms: 4(5 + x) + 33 = 6x + -2(x + -9) (5 * 4 + x * 4) + 33 = 6x + -2(x + -9) (20 + 4x) + 33 = 6x + -2(x + -9) Reorder the terms: 20 + 33 + 4x = 6x + -2(x + -9) Combine like terms: 20 + 33 = 53 53 + 4x = 6x + -2(x + -9) Reorder the terms: 53 + 4x = 6x + -2(-9 + x) 53 + 4x = 6x + (-9 * -2 + x * -2) 53 + 4x = 6x + (18 + -2x) Reorder the terms: 53 + 4x = 18 + 6x + -2x Combine like terms: 6x + -2x = 4x 53 + 4x = 18 + 4x Add '-4x' to each side of the equation. 53 + 4x + -4x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 53 + 0 = 18 + 4x + -4x 53 = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 53 = 18 + 0 53 = 18 Solving 53 = 18 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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