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Simplifying 10x + -6x + -12 = 2x + 3 Reorder the terms: -12 + 10x + -6x = 2x + 3 Combine like terms: 10x + -6x = 4x -12 + 4x = 2x + 3 Reorder the terms: -12 + 4x = 3 + 2x Solving -12 + 4x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 4x + -2x = 3 + 2x + -2x Combine like terms: 4x + -2x = 2x -12 + 2x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 2x = 3 + 0 -12 + 2x = 3 Add '12' to each side of the equation. -12 + 12 + 2x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 3 + 12 2x = 3 + 12 Combine like terms: 3 + 12 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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