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Simplifying 8 + 6(x + -3) = 7 + -9(x + -2) Reorder the terms: 8 + 6(-3 + x) = 7 + -9(x + -2) 8 + (-3 * 6 + x * 6) = 7 + -9(x + -2) 8 + (-18 + 6x) = 7 + -9(x + -2) Combine like terms: 8 + -18 = -10 -10 + 6x = 7 + -9(x + -2) Reorder the terms: -10 + 6x = 7 + -9(-2 + x) -10 + 6x = 7 + (-2 * -9 + x * -9) -10 + 6x = 7 + (18 + -9x) Combine like terms: 7 + 18 = 25 -10 + 6x = 25 + -9x Solving -10 + 6x = 25 + -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. -10 + 6x + 9x = 25 + -9x + 9x Combine like terms: 6x + 9x = 15x -10 + 15x = 25 + -9x + 9x Combine like terms: -9x + 9x = 0 -10 + 15x = 25 + 0 -10 + 15x = 25 Add '10' to each side of the equation. -10 + 10 + 15x = 25 + 10 Combine like terms: -10 + 10 = 0 0 + 15x = 25 + 10 15x = 25 + 10 Combine like terms: 25 + 10 = 35 15x = 35 Divide each side by '15'. x = 2.333333333 Simplifying x = 2.333333333
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