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Simplifying 500 = 45x + 35(12 + -45) Combine like terms: 12 + -45 = -33 500 = 45x + 35(-33) Multiply 35 * -33 500 = 45x + -1155 Reorder the terms: 500 = -1155 + 45x Solving 500 = -1155 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 500 + -45x = -1155 + 45x + -45x Combine like terms: 45x + -45x = 0 500 + -45x = -1155 + 0 500 + -45x = -1155 Add '-500' to each side of the equation. 500 + -500 + -45x = -1155 + -500 Combine like terms: 500 + -500 = 0 0 + -45x = -1155 + -500 -45x = -1155 + -500 Combine like terms: -1155 + -500 = -1655 -45x = -1655 Divide each side by '-45'. x = 36.77777778 Simplifying x = 36.77777778
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