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Simplifying 9x + -4(x + -5) = 3(x + -5) + 6 Reorder the terms: 9x + -4(-5 + x) = 3(x + -5) + 6 9x + (-5 * -4 + x * -4) = 3(x + -5) + 6 9x + (20 + -4x) = 3(x + -5) + 6 Reorder the terms: 20 + 9x + -4x = 3(x + -5) + 6 Combine like terms: 9x + -4x = 5x 20 + 5x = 3(x + -5) + 6 Reorder the terms: 20 + 5x = 3(-5 + x) + 6 20 + 5x = (-5 * 3 + x * 3) + 6 20 + 5x = (-15 + 3x) + 6 Reorder the terms: 20 + 5x = -15 + 6 + 3x Combine like terms: -15 + 6 = -9 20 + 5x = -9 + 3x Solving 20 + 5x = -9 + 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. 20 + 5x + -3x = -9 + 3x + -3x Combine like terms: 5x + -3x = 2x 20 + 2x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 2x = -9 + 0 20 + 2x = -9 Add '-20' to each side of the equation. 20 + -20 + 2x = -9 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = -9 + -20 2x = -9 + -20 Combine like terms: -9 + -20 = -29 2x = -29 Divide each side by '2'. x = -14.5 Simplifying x = -14.5
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