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Simplifying 2 + 3(x + -5) = 7 + -6(x + -5) Reorder the terms: 2 + 3(-5 + x) = 7 + -6(x + -5) 2 + (-5 * 3 + x * 3) = 7 + -6(x + -5) 2 + (-15 + 3x) = 7 + -6(x + -5) Combine like terms: 2 + -15 = -13 -13 + 3x = 7 + -6(x + -5) Reorder the terms: -13 + 3x = 7 + -6(-5 + x) -13 + 3x = 7 + (-5 * -6 + x * -6) -13 + 3x = 7 + (30 + -6x) Combine like terms: 7 + 30 = 37 -13 + 3x = 37 + -6x Solving -13 + 3x = 37 + -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 = 37 + -6x + 6x Combine like terms: 3x + 6x = 9x -13 + 9x = 37 + -6x + 6x Combine like terms: -6x + 6x = 0 -13 + 9x = 37 + 0 -13 + 9x = 37 Add '13' to each side of the equation. -13 + 13 + 9x = 37 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = 37 + 13 9x = 37 + 13 Combine like terms: 37 + 13 = 50 9x = 50 Divide each side by '9'. x = 5.555555556 Simplifying x = 5.555555556
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