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Simplifying -6(x + -5) + -2 = -3(x + -7) Reorder the terms: -6(-5 + x) + -2 = -3(x + -7) (-5 * -6 + x * -6) + -2 = -3(x + -7) (30 + -6x) + -2 = -3(x + -7) Reorder the terms: 30 + -2 + -6x = -3(x + -7) Combine like terms: 30 + -2 = 28 28 + -6x = -3(x + -7) Reorder the terms: 28 + -6x = -3(-7 + x) 28 + -6x = (-7 * -3 + x * -3) 28 + -6x = (21 + -3x) Solving 28 + -6x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 28 + -6x + 3x = 21 + -3x + 3x Combine like terms: -6x + 3x = -3x 28 + -3x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 28 + -3x = 21 + 0 28 + -3x = 21 Add '-28' to each side of the equation. 28 + -28 + -3x = 21 + -28 Combine like terms: 28 + -28 = 0 0 + -3x = 21 + -28 -3x = 21 + -28 Combine like terms: 21 + -28 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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