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Simplifying 5 + -3(x + 2) = 3(x + 1) Reorder the terms: 5 + -3(2 + x) = 3(x + 1) 5 + (2 * -3 + x * -3) = 3(x + 1) 5 + (-6 + -3x) = 3(x + 1) Combine like terms: 5 + -6 = -1 -1 + -3x = 3(x + 1) Reorder the terms: -1 + -3x = 3(1 + x) -1 + -3x = (1 * 3 + x * 3) -1 + -3x = (3 + 3x) Solving -1 + -3x = 3 + 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. -1 + -3x + -3x = 3 + 3x + -3x Combine like terms: -3x + -3x = -6x -1 + -6x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -6x = 3 + 0 -1 + -6x = 3 Add '1' to each side of the equation. -1 + 1 + -6x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 3 + 1 -6x = 3 + 1 Combine like terms: 3 + 1 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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