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Simplifying -2(6x + -7) = 3(-3x + 5) Reorder the terms: -2(-7 + 6x) = 3(-3x + 5) (-7 * -2 + 6x * -2) = 3(-3x + 5) (14 + -12x) = 3(-3x + 5) Reorder the terms: 14 + -12x = 3(5 + -3x) 14 + -12x = (5 * 3 + -3x * 3) 14 + -12x = (15 + -9x) Solving 14 + -12x = 15 + -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. 14 + -12x + 9x = 15 + -9x + 9x Combine like terms: -12x + 9x = -3x 14 + -3x = 15 + -9x + 9x Combine like terms: -9x + 9x = 0 14 + -3x = 15 + 0 14 + -3x = 15 Add '-14' to each side of the equation. 14 + -14 + -3x = 15 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 15 + -14 -3x = 15 + -14 Combine like terms: 15 + -14 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333
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