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