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Simplifying 5x + 2 + -2(-3x + -2) = 5(x + -2) Reorder the terms: 5x + 2 + -2(-2 + -3x) = 5(x + -2) 5x + 2 + (-2 * -2 + -3x * -2) = 5(x + -2) 5x + 2 + (4 + 6x) = 5(x + -2) Reorder the terms: 2 + 4 + 5x + 6x = 5(x + -2) Combine like terms: 2 + 4 = 6 6 + 5x + 6x = 5(x + -2) Combine like terms: 5x + 6x = 11x 6 + 11x = 5(x + -2) Reorder the terms: 6 + 11x = 5(-2 + x) 6 + 11x = (-2 * 5 + x * 5) 6 + 11x = (-10 + 5x) Solving 6 + 11x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 11x + -5x = -10 + 5x + -5x Combine like terms: 11x + -5x = 6x 6 + 6x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 6x = -10 + 0 6 + 6x = -10 Add '-6' to each side of the equation. 6 + -6 + 6x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -10 + -6 6x = -10 + -6 Combine like terms: -10 + -6 = -16 6x = -16 Divide each side by '6'. x = -2.666666667 Simplifying x = -2.666666667
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