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Simplifying 3(7x + -2) = 11 + -4(2x + -3) Reorder the terms: 3(-2 + 7x) = 11 + -4(2x + -3) (-2 * 3 + 7x * 3) = 11 + -4(2x + -3) (-6 + 21x) = 11 + -4(2x + -3) Reorder the terms: -6 + 21x = 11 + -4(-3 + 2x) -6 + 21x = 11 + (-3 * -4 + 2x * -4) -6 + 21x = 11 + (12 + -8x) Combine like terms: 11 + 12 = 23 -6 + 21x = 23 + -8x Solving -6 + 21x = 23 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + 21x + 8x = 23 + -8x + 8x Combine like terms: 21x + 8x = 29x -6 + 29x = 23 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 29x = 23 + 0 -6 + 29x = 23 Add '6' to each side of the equation. -6 + 6 + 29x = 23 + 6 Combine like terms: -6 + 6 = 0 0 + 29x = 23 + 6 29x = 23 + 6 Combine like terms: 23 + 6 = 29 29x = 29 Divide each side by '29'. x = 1 Simplifying x = 1
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