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Simplifying 4x + -3(6x + -7) = 11 + -7(3x + 6) Reorder the terms: 4x + -3(-7 + 6x) = 11 + -7(3x + 6) 4x + (-7 * -3 + 6x * -3) = 11 + -7(3x + 6) 4x + (21 + -18x) = 11 + -7(3x + 6) Reorder the terms: 21 + 4x + -18x = 11 + -7(3x + 6) Combine like terms: 4x + -18x = -14x 21 + -14x = 11 + -7(3x + 6) Reorder the terms: 21 + -14x = 11 + -7(6 + 3x) 21 + -14x = 11 + (6 * -7 + 3x * -7) 21 + -14x = 11 + (-42 + -21x) Combine like terms: 11 + -42 = -31 21 + -14x = -31 + -21x Solving 21 + -14x = -31 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 21 + -14x + 21x = -31 + -21x + 21x Combine like terms: -14x + 21x = 7x 21 + 7x = -31 + -21x + 21x Combine like terms: -21x + 21x = 0 21 + 7x = -31 + 0 21 + 7x = -31 Add '-21' to each side of the equation. 21 + -21 + 7x = -31 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = -31 + -21 7x = -31 + -21 Combine like terms: -31 + -21 = -52 7x = -52 Divide each side by '7'. x = -7.428571429 Simplifying x = -7.428571429
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