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Simplifying 4x + -3(5x + -9) = 3x + -2 Reorder the terms: 4x + -3(-9 + 5x) = 3x + -2 4x + (-9 * -3 + 5x * -3) = 3x + -2 4x + (27 + -15x) = 3x + -2 Reorder the terms: 27 + 4x + -15x = 3x + -2 Combine like terms: 4x + -15x = -11x 27 + -11x = 3x + -2 Reorder the terms: 27 + -11x = -2 + 3x Solving 27 + -11x = -2 + 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. 27 + -11x + -3x = -2 + 3x + -3x Combine like terms: -11x + -3x = -14x 27 + -14x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + -14x = -2 + 0 27 + -14x = -2 Add '-27' to each side of the equation. 27 + -27 + -14x = -2 + -27 Combine like terms: 27 + -27 = 0 0 + -14x = -2 + -27 -14x = -2 + -27 Combine like terms: -2 + -27 = -29 -14x = -29 Divide each side by '-14'. x = 2.071428571 Simplifying x = 2.071428571
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