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Simplifying (10x + -12) = (4x + 3) + (x + 5) Reorder the terms: (-12 + 10x) = (4x + 3) + (x + 5) Remove parenthesis around (-12 + 10x) -12 + 10x = (4x + 3) + (x + 5) Reorder the terms: -12 + 10x = (3 + 4x) + (x + 5) Remove parenthesis around (3 + 4x) -12 + 10x = 3 + 4x + (x + 5) Reorder the terms: -12 + 10x = 3 + 4x + (5 + x) Remove parenthesis around (5 + x) -12 + 10x = 3 + 4x + 5 + x Reorder the terms: -12 + 10x = 3 + 5 + 4x + x Combine like terms: 3 + 5 = 8 -12 + 10x = 8 + 4x + x Combine like terms: 4x + x = 5x -12 + 10x = 8 + 5x Solving -12 + 10x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 10x + -5x = 8 + 5x + -5x Combine like terms: 10x + -5x = 5x -12 + 5x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 5x = 8 + 0 -12 + 5x = 8 Add '12' to each side of the equation. -12 + 12 + 5x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 8 + 12 5x = 8 + 12 Combine like terms: 8 + 12 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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