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Simplifying 3(1 + -3x) + -8 = 5 + -6(x + 1) (1 * 3 + -3x * 3) + -8 = 5 + -6(x + 1) (3 + -9x) + -8 = 5 + -6(x + 1) Reorder the terms: 3 + -8 + -9x = 5 + -6(x + 1) Combine like terms: 3 + -8 = -5 -5 + -9x = 5 + -6(x + 1) Reorder the terms: -5 + -9x = 5 + -6(1 + x) -5 + -9x = 5 + (1 * -6 + x * -6) -5 + -9x = 5 + (-6 + -6x) Combine like terms: 5 + -6 = -1 -5 + -9x = -1 + -6x Solving -5 + -9x = -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 + -9x + 6x = -1 + -6x + 6x Combine like terms: -9x + 6x = -3x -5 + -3x = -1 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + -3x = -1 + 0 -5 + -3x = -1 Add '5' to each side of the equation. -5 + 5 + -3x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -1 + 5 -3x = -1 + 5 Combine like terms: -1 + 5 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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