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Simplifying -3x + 11 = -2(3x + 5) Reorder the terms: 11 + -3x = -2(3x + 5) Reorder the terms: 11 + -3x = -2(5 + 3x) 11 + -3x = (5 * -2 + 3x * -2) 11 + -3x = (-10 + -6x) Solving 11 + -3x = -10 + -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. 11 + -3x + 6x = -10 + -6x + 6x Combine like terms: -3x + 6x = 3x 11 + 3x = -10 + -6x + 6x Combine like terms: -6x + 6x = 0 11 + 3x = -10 + 0 11 + 3x = -10 Add '-11' to each side of the equation. 11 + -11 + 3x = -10 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = -10 + -11 3x = -10 + -11 Combine like terms: -10 + -11 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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