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Simplifying 2(3x + 4) + -40 = 110 + 20x + -3000 Reorder the terms: 2(4 + 3x) + -40 = 110 + 20x + -3000 (4 * 2 + 3x * 2) + -40 = 110 + 20x + -3000 (8 + 6x) + -40 = 110 + 20x + -3000 Reorder the terms: 8 + -40 + 6x = 110 + 20x + -3000 Combine like terms: 8 + -40 = -32 -32 + 6x = 110 + 20x + -3000 Reorder the terms: -32 + 6x = 110 + -3000 + 20x Combine like terms: 110 + -3000 = -2890 -32 + 6x = -2890 + 20x Solving -32 + 6x = -2890 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -32 + 6x + -20x = -2890 + 20x + -20x Combine like terms: 6x + -20x = -14x -32 + -14x = -2890 + 20x + -20x Combine like terms: 20x + -20x = 0 -32 + -14x = -2890 + 0 -32 + -14x = -2890 Add '32' to each side of the equation. -32 + 32 + -14x = -2890 + 32 Combine like terms: -32 + 32 = 0 0 + -14x = -2890 + 32 -14x = -2890 + 32 Combine like terms: -2890 + 32 = -2858 -14x = -2858 Divide each side by '-14'. x = 204.1428571 Simplifying x = 204.1428571
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