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Simplifying -2(7x + 6) = 6(-4x + 5) Reorder the terms: -2(6 + 7x) = 6(-4x + 5) (6 * -2 + 7x * -2) = 6(-4x + 5) (-12 + -14x) = 6(-4x + 5) Reorder the terms: -12 + -14x = 6(5 + -4x) -12 + -14x = (5 * 6 + -4x * 6) -12 + -14x = (30 + -24x) Solving -12 + -14x = 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. -12 + -14x + 24x = 30 + -24x + 24x Combine like terms: -14x + 24x = 10x -12 + 10x = 30 + -24x + 24x Combine like terms: -24x + 24x = 0 -12 + 10x = 30 + 0 -12 + 10x = 30 Add '12' to each side of the equation. -12 + 12 + 10x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 30 + 12 10x = 30 + 12 Combine like terms: 30 + 12 = 42 10x = 42 Divide each side by '10'. x = 4.2 Simplifying x = 4.2
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