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Simplifying -6(2x + -7) = -6(-4x + 5) Reorder the terms: -6(-7 + 2x) = -6(-4x + 5) (-7 * -6 + 2x * -6) = -6(-4x + 5) (42 + -12x) = -6(-4x + 5) Reorder the terms: 42 + -12x = -6(5 + -4x) 42 + -12x = (5 * -6 + -4x * -6) 42 + -12x = (-30 + 24x) Solving 42 + -12x = -30 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 42 + -12x + -24x = -30 + 24x + -24x Combine like terms: -12x + -24x = -36x 42 + -36x = -30 + 24x + -24x Combine like terms: 24x + -24x = 0 42 + -36x = -30 + 0 42 + -36x = -30 Add '-42' to each side of the equation. 42 + -42 + -36x = -30 + -42 Combine like terms: 42 + -42 = 0 0 + -36x = -30 + -42 -36x = -30 + -42 Combine like terms: -30 + -42 = -72 -36x = -72 Divide each side by '-36'. x = 2 Simplifying x = 2
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