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Simplifying 4x + 5(x + -6) = 3x + 6 + -9 + x + -2 Reorder the terms: 4x + 5(-6 + x) = 3x + 6 + -9 + x + -2 4x + (-6 * 5 + x * 5) = 3x + 6 + -9 + x + -2 4x + (-30 + 5x) = 3x + 6 + -9 + x + -2 Reorder the terms: -30 + 4x + 5x = 3x + 6 + -9 + x + -2 Combine like terms: 4x + 5x = 9x -30 + 9x = 3x + 6 + -9 + x + -2 Reorder the terms: -30 + 9x = 6 + -9 + -2 + 3x + x Combine like terms: 6 + -9 = -3 -30 + 9x = -3 + -2 + 3x + x Combine like terms: -3 + -2 = -5 -30 + 9x = -5 + 3x + x Combine like terms: 3x + x = 4x -30 + 9x = -5 + 4x Solving -30 + 9x = -5 + 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 = -5 + 4x + -4x Combine like terms: 9x + -4x = 5x -30 + 5x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 5x = -5 + 0 -30 + 5x = -5 Add '30' to each side of the equation. -30 + 30 + 5x = -5 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = -5 + 30 5x = -5 + 30 Combine like terms: -5 + 30 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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