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Simplifying 9x + -4(x + -6) = 3(x + -2) + 9 Reorder the terms: 9x + -4(-6 + x) = 3(x + -2) + 9 9x + (-6 * -4 + x * -4) = 3(x + -2) + 9 9x + (24 + -4x) = 3(x + -2) + 9 Reorder the terms: 24 + 9x + -4x = 3(x + -2) + 9 Combine like terms: 9x + -4x = 5x 24 + 5x = 3(x + -2) + 9 Reorder the terms: 24 + 5x = 3(-2 + x) + 9 24 + 5x = (-2 * 3 + x * 3) + 9 24 + 5x = (-6 + 3x) + 9 Reorder the terms: 24 + 5x = -6 + 9 + 3x Combine like terms: -6 + 9 = 3 24 + 5x = 3 + 3x Solving 24 + 5x = 3 + 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. 24 + 5x + -3x = 3 + 3x + -3x Combine like terms: 5x + -3x = 2x 24 + 2x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 2x = 3 + 0 24 + 2x = 3 Add '-24' to each side of the equation. 24 + -24 + 2x = 3 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 3 + -24 2x = 3 + -24 Combine like terms: 3 + -24 = -21 2x = -21 Divide each side by '2'. x = -10.5 Simplifying x = -10.5
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