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Simplifying 5 + 3(x + -1) = 10 + -9(x + -6) Reorder the terms: 5 + 3(-1 + x) = 10 + -9(x + -6) 5 + (-1 * 3 + x * 3) = 10 + -9(x + -6) 5 + (-3 + 3x) = 10 + -9(x + -6) Combine like terms: 5 + -3 = 2 2 + 3x = 10 + -9(x + -6) Reorder the terms: 2 + 3x = 10 + -9(-6 + x) 2 + 3x = 10 + (-6 * -9 + x * -9) 2 + 3x = 10 + (54 + -9x) Combine like terms: 10 + 54 = 64 2 + 3x = 64 + -9x Solving 2 + 3x = 64 + -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. 2 + 3x + 9x = 64 + -9x + 9x Combine like terms: 3x + 9x = 12x 2 + 12x = 64 + -9x + 9x Combine like terms: -9x + 9x = 0 2 + 12x = 64 + 0 2 + 12x = 64 Add '-2' to each side of the equation. 2 + -2 + 12x = 64 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 64 + -2 12x = 64 + -2 Combine like terms: 64 + -2 = 62 12x = 62 Divide each side by '12'. x = 5.166666667 Simplifying x = 5.166666667
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