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Simplifying 3x + 5(x + -6) = 3(x + -5) Reorder the terms: 3x + 5(-6 + x) = 3(x + -5) 3x + (-6 * 5 + x * 5) = 3(x + -5) 3x + (-30 + 5x) = 3(x + -5) Reorder the terms: -30 + 3x + 5x = 3(x + -5) Combine like terms: 3x + 5x = 8x -30 + 8x = 3(x + -5) Reorder the terms: -30 + 8x = 3(-5 + x) -30 + 8x = (-5 * 3 + x * 3) -30 + 8x = (-15 + 3x) Solving -30 + 8x = -15 + 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. -30 + 8x + -3x = -15 + 3x + -3x Combine like terms: 8x + -3x = 5x -30 + 5x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 5x = -15 + 0 -30 + 5x = -15 Add '30' to each side of the equation. -30 + 30 + 5x = -15 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = -15 + 30 5x = -15 + 30 Combine like terms: -15 + 30 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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