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Simplifying 3x + 5(x + -9) = 3(x + -10) Reorder the terms: 3x + 5(-9 + x) = 3(x + -10) 3x + (-9 * 5 + x * 5) = 3(x + -10) 3x + (-45 + 5x) = 3(x + -10) Reorder the terms: -45 + 3x + 5x = 3(x + -10) Combine like terms: 3x + 5x = 8x -45 + 8x = 3(x + -10) Reorder the terms: -45 + 8x = 3(-10 + x) -45 + 8x = (-10 * 3 + x * 3) -45 + 8x = (-30 + 3x) Solving -45 + 8x = -30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -45 + 8x + -3x = -30 + 3x + -3x Combine like terms: 8x + -3x = 5x -45 + 5x = -30 + 3x + -3x Combine like terms: 3x + -3x = 0 -45 + 5x = -30 + 0 -45 + 5x = -30 Add '45' to each side of the equation. -45 + 45 + 5x = -30 + 45 Combine like terms: -45 + 45 = 0 0 + 5x = -30 + 45 5x = -30 + 45 Combine like terms: -30 + 45 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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