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Simplifying 3x + 5 + 2x = 2(x + -5) + -11 Reorder the terms: 5 + 3x + 2x = 2(x + -5) + -11 Combine like terms: 3x + 2x = 5x 5 + 5x = 2(x + -5) + -11 Reorder the terms: 5 + 5x = 2(-5 + x) + -11 5 + 5x = (-5 * 2 + x * 2) + -11 5 + 5x = (-10 + 2x) + -11 Reorder the terms: 5 + 5x = -10 + -11 + 2x Combine like terms: -10 + -11 = -21 5 + 5x = -21 + 2x Solving 5 + 5x = -21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 5x + -2x = -21 + 2x + -2x Combine like terms: 5x + -2x = 3x 5 + 3x = -21 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 3x = -21 + 0 5 + 3x = -21 Add '-5' to each side of the equation. 5 + -5 + 3x = -21 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -21 + -5 3x = -21 + -5 Combine like terms: -21 + -5 = -26 3x = -26 Divide each side by '3'. x = -8.666666667 Simplifying x = -8.666666667
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