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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 = 6 11x = 6 Divide each side by '11'. x = 0.5454545455 Simplifying x = 0.5454545455
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