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Simplifying 3(x + 1) + -5 = 3 + -2(3x + -1) Reorder the terms: 3(1 + x) + -5 = 3 + -2(3x + -1) (1 * 3 + x * 3) + -5 = 3 + -2(3x + -1) (3 + 3x) + -5 = 3 + -2(3x + -1) Reorder the terms: 3 + -5 + 3x = 3 + -2(3x + -1) Combine like terms: 3 + -5 = -2 -2 + 3x = 3 + -2(3x + -1) Reorder the terms: -2 + 3x = 3 + -2(-1 + 3x) -2 + 3x = 3 + (-1 * -2 + 3x * -2) -2 + 3x = 3 + (2 + -6x) Combine like terms: 3 + 2 = 5 -2 + 3x = 5 + -6x Solving -2 + 3x = 5 + -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. -2 + 3x + 6x = 5 + -6x + 6x Combine like terms: 3x + 6x = 9x -2 + 9x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 9x = 5 + 0 -2 + 9x = 5 Add '2' to each side of the equation. -2 + 2 + 9x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 5 + 2 9x = 5 + 2 Combine like terms: 5 + 2 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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