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Simplifying 3(x + 1) + -5 = -3x + 2 Reorder the terms: 3(1 + x) + -5 = -3x + 2 (1 * 3 + x * 3) + -5 = -3x + 2 (3 + 3x) + -5 = -3x + 2 Reorder the terms: 3 + -5 + 3x = -3x + 2 Combine like terms: 3 + -5 = -2 -2 + 3x = -3x + 2 Reorder the terms: -2 + 3x = 2 + -3x Solving -2 + 3x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 3x + 3x = 2 + -3x + 3x Combine like terms: 3x + 3x = 6x -2 + 6x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 6x = 2 + 0 -2 + 6x = 2 Add '2' to each side of the equation. -2 + 2 + 6x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 2 + 2 6x = 2 + 2 Combine like terms: 2 + 2 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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