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Simplifying 9 + 3x = 6x + -4(2x + -6) Reorder the terms: 9 + 3x = 6x + -4(-6 + 2x) 9 + 3x = 6x + (-6 * -4 + 2x * -4) 9 + 3x = 6x + (24 + -8x) Reorder the terms: 9 + 3x = 24 + 6x + -8x Combine like terms: 6x + -8x = -2x 9 + 3x = 24 + -2x Solving 9 + 3x = 24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + 3x + 2x = 24 + -2x + 2x Combine like terms: 3x + 2x = 5x 9 + 5x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 5x = 24 + 0 9 + 5x = 24 Add '-9' to each side of the equation. 9 + -9 + 5x = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 24 + -9 5x = 24 + -9 Combine like terms: 24 + -9 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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