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Simplifying 2(5x + -6) = (3x + -2) + 4 Reorder the terms: 2(-6 + 5x) = (3x + -2) + 4 (-6 * 2 + 5x * 2) = (3x + -2) + 4 (-12 + 10x) = (3x + -2) + 4 Reorder the terms: -12 + 10x = (-2 + 3x) + 4 Remove parenthesis around (-2 + 3x) -12 + 10x = -2 + 3x + 4 Reorder the terms: -12 + 10x = -2 + 4 + 3x Combine like terms: -2 + 4 = 2 -12 + 10x = 2 + 3x Solving -12 + 10x = 2 + 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. -12 + 10x + -3x = 2 + 3x + -3x Combine like terms: 10x + -3x = 7x -12 + 7x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 7x = 2 + 0 -12 + 7x = 2 Add '12' to each side of the equation. -12 + 12 + 7x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 2 + 12 7x = 2 + 12 Combine like terms: 2 + 12 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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