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Simplifying 2x + -3(4x + -7) = 11x + -9 Reorder the terms: 2x + -3(-7 + 4x) = 11x + -9 2x + (-7 * -3 + 4x * -3) = 11x + -9 2x + (21 + -12x) = 11x + -9 Reorder the terms: 21 + 2x + -12x = 11x + -9 Combine like terms: 2x + -12x = -10x 21 + -10x = 11x + -9 Reorder the terms: 21 + -10x = -9 + 11x Solving 21 + -10x = -9 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 21 + -10x + -11x = -9 + 11x + -11x Combine like terms: -10x + -11x = -21x 21 + -21x = -9 + 11x + -11x Combine like terms: 11x + -11x = 0 21 + -21x = -9 + 0 21 + -21x = -9 Add '-21' to each side of the equation. 21 + -21 + -21x = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -21x = -9 + -21 -21x = -9 + -21 Combine like terms: -9 + -21 = -30 -21x = -30 Divide each side by '-21'. x = 1.428571429 Simplifying x = 1.428571429
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