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Simplifying 2 + 3(x + -5) = 2 + -6(x + -9) Reorder the terms: 2 + 3(-5 + x) = 2 + -6(x + -9) 2 + (-5 * 3 + x * 3) = 2 + -6(x + -9) 2 + (-15 + 3x) = 2 + -6(x + -9) Combine like terms: 2 + -15 = -13 -13 + 3x = 2 + -6(x + -9) Reorder the terms: -13 + 3x = 2 + -6(-9 + x) -13 + 3x = 2 + (-9 * -6 + x * -6) -13 + 3x = 2 + (54 + -6x) Combine like terms: 2 + 54 = 56 -13 + 3x = 56 + -6x Solving -13 + 3x = 56 + -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. -13 + 3x + 6x = 56 + -6x + 6x Combine like terms: 3x + 6x = 9x -13 + 9x = 56 + -6x + 6x Combine like terms: -6x + 6x = 0 -13 + 9x = 56 + 0 -13 + 9x = 56 Add '13' to each side of the equation. -13 + 13 + 9x = 56 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = 56 + 13 9x = 56 + 13 Combine like terms: 56 + 13 = 69 9x = 69 Divide each side by '9'. x = 7.666666667 Simplifying x = 7.666666667
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