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Simplifying 8 + 3(x + -1) = 8 + -9(x + -6) Reorder the terms: 8 + 3(-1 + x) = 8 + -9(x + -6) 8 + (-1 * 3 + x * 3) = 8 + -9(x + -6) 8 + (-3 + 3x) = 8 + -9(x + -6) Combine like terms: 8 + -3 = 5 5 + 3x = 8 + -9(x + -6) Reorder the terms: 5 + 3x = 8 + -9(-6 + x) 5 + 3x = 8 + (-6 * -9 + x * -9) 5 + 3x = 8 + (54 + -9x) Combine like terms: 8 + 54 = 62 5 + 3x = 62 + -9x Solving 5 + 3x = 62 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 5 + 3x + 9x = 62 + -9x + 9x Combine like terms: 3x + 9x = 12x 5 + 12x = 62 + -9x + 9x Combine like terms: -9x + 9x = 0 5 + 12x = 62 + 0 5 + 12x = 62 Add '-5' to each side of the equation. 5 + -5 + 12x = 62 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 62 + -5 12x = 62 + -5 Combine like terms: 62 + -5 = 57 12x = 57 Divide each side by '12'. x = 4.75 Simplifying x = 4.75
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