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Simplifying 5(x + 1) = 5 + -2(3x + 2) Reorder the terms: 5(1 + x) = 5 + -2(3x + 2) (1 * 5 + x * 5) = 5 + -2(3x + 2) (5 + 5x) = 5 + -2(3x + 2) Reorder the terms: 5 + 5x = 5 + -2(2 + 3x) 5 + 5x = 5 + (2 * -2 + 3x * -2) 5 + 5x = 5 + (-4 + -6x) Combine like terms: 5 + -4 = 1 5 + 5x = 1 + -6x Solving 5 + 5x = 1 + -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. 5 + 5x + 6x = 1 + -6x + 6x Combine like terms: 5x + 6x = 11x 5 + 11x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 11x = 1 + 0 5 + 11x = 1 Add '-5' to each side of the equation. 5 + -5 + 11x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 1 + -5 11x = 1 + -5 Combine like terms: 1 + -5 = -4 11x = -4 Divide each side by '11'. x = -0.3636363636 Simplifying x = -0.3636363636
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