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Simplifying 2(5x + -6) + 4x = 10x + 12 Reorder the terms: 2(-6 + 5x) + 4x = 10x + 12 (-6 * 2 + 5x * 2) + 4x = 10x + 12 (-12 + 10x) + 4x = 10x + 12 Combine like terms: 10x + 4x = 14x -12 + 14x = 10x + 12 Reorder the terms: -12 + 14x = 12 + 10x Solving -12 + 14x = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 14x + -10x = 12 + 10x + -10x Combine like terms: 14x + -10x = 4x -12 + 4x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + 4x = 12 + 0 -12 + 4x = 12 Add '12' to each side of the equation. -12 + 12 + 4x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 12 + 12 4x = 12 + 12 Combine like terms: 12 + 12 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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