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Simplifying -9078(27x + -65) = 78.24(6x + 34) Reorder the terms: -9078(-65 + 27x) = 78.24(6x + 34) (-65 * -9078 + 27x * -9078) = 78.24(6x + 34) (590070 + -245106x) = 78.24(6x + 34) Reorder the terms: 590070 + -245106x = 78.24(34 + 6x) 590070 + -245106x = (34 * 78.24 + 6x * 78.24) 590070 + -245106x = (2660.16 + 469.44x) Solving 590070 + -245106x = 2660.16 + 469.44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-469.44x' to each side of the equation. 590070 + -245106x + -469.44x = 2660.16 + 469.44x + -469.44x Combine like terms: -245106x + -469.44x = -245575.44x 590070 + -245575.44x = 2660.16 + 469.44x + -469.44x Combine like terms: 469.44x + -469.44x = 0.00 590070 + -245575.44x = 2660.16 + 0.00 590070 + -245575.44x = 2660.16 Add '-590070' to each side of the equation. 590070 + -590070 + -245575.44x = 2660.16 + -590070 Combine like terms: 590070 + -590070 = 0 0 + -245575.44x = 2660.16 + -590070 -245575.44x = 2660.16 + -590070 Combine like terms: 2660.16 + -590070 = -587409.84 -245575.44x = -587409.84 Divide each side by '-245575.44'. x = 2.391973074 Simplifying x = 2.391973074
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