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Simplifying 4x + 5(x + -6) = 4(x + -5) Reorder the terms: 4x + 5(-6 + x) = 4(x + -5) 4x + (-6 * 5 + x * 5) = 4(x + -5) 4x + (-30 + 5x) = 4(x + -5) Reorder the terms: -30 + 4x + 5x = 4(x + -5) Combine like terms: 4x + 5x = 9x -30 + 9x = 4(x + -5) Reorder the terms: -30 + 9x = 4(-5 + x) -30 + 9x = (-5 * 4 + x * 4) -30 + 9x = (-20 + 4x) Solving -30 + 9x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -30 + 9x + -4x = -20 + 4x + -4x Combine like terms: 9x + -4x = 5x -30 + 5x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 5x = -20 + 0 -30 + 5x = -20 Add '30' to each side of the equation. -30 + 30 + 5x = -20 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = -20 + 30 5x = -20 + 30 Combine like terms: -20 + 30 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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