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Simplifying 5(3x + -9) = 6x + -4 Reorder the terms: 5(-9 + 3x) = 6x + -4 (-9 * 5 + 3x * 5) = 6x + -4 (-45 + 15x) = 6x + -4 Reorder the terms: -45 + 15x = -4 + 6x Solving -45 + 15x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -45 + 15x + -6x = -4 + 6x + -6x Combine like terms: 15x + -6x = 9x -45 + 9x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + 9x = -4 + 0 -45 + 9x = -4 Add '45' to each side of the equation. -45 + 45 + 9x = -4 + 45 Combine like terms: -45 + 45 = 0 0 + 9x = -4 + 45 9x = -4 + 45 Combine like terms: -4 + 45 = 41 9x = 41 Divide each side by '9'. x = 4.555555556 Simplifying x = 4.555555556
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