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Simplifying 60x + -500 = 3(3x) + 2(5) Reorder the terms: -500 + 60x = 3(3x) + 2(5) Remove parenthesis around (3x) -500 + 60x = 3 * 3x + 2(5) Multiply 3 * 3 -500 + 60x = 9x + 2(5) Multiply 2 * 5 -500 + 60x = 9x + 10 Reorder the terms: -500 + 60x = 10 + 9x Solving -500 + 60x = 10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -500 + 60x + -9x = 10 + 9x + -9x Combine like terms: 60x + -9x = 51x -500 + 51x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 -500 + 51x = 10 + 0 -500 + 51x = 10 Add '500' to each side of the equation. -500 + 500 + 51x = 10 + 500 Combine like terms: -500 + 500 = 0 0 + 51x = 10 + 500 51x = 10 + 500 Combine like terms: 10 + 500 = 510 51x = 510 Divide each side by '51'. x = 10 Simplifying x = 10
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