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Simplifying 3x + 5(x + -10) = 3(x + -10) Reorder the terms: 3x + 5(-10 + x) = 3(x + -10) 3x + (-10 * 5 + x * 5) = 3(x + -10) 3x + (-50 + 5x) = 3(x + -10) Reorder the terms: -50 + 3x + 5x = 3(x + -10) Combine like terms: 3x + 5x = 8x -50 + 8x = 3(x + -10) Reorder the terms: -50 + 8x = 3(-10 + x) -50 + 8x = (-10 * 3 + x * 3) -50 + 8x = (-30 + 3x) Solving -50 + 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. -50 + 8x + -3x = -30 + 3x + -3x Combine like terms: 8x + -3x = 5x -50 + 5x = -30 + 3x + -3x Combine like terms: 3x + -3x = 0 -50 + 5x = -30 + 0 -50 + 5x = -30 Add '50' to each side of the equation. -50 + 50 + 5x = -30 + 50 Combine like terms: -50 + 50 = 0 0 + 5x = -30 + 50 5x = -30 + 50 Combine like terms: -30 + 50 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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