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Simplifying 6x + -3 + -12 = 4x + -5 Reorder the terms: -3 + -12 + 6x = 4x + -5 Combine like terms: -3 + -12 = -15 -15 + 6x = 4x + -5 Reorder the terms: -15 + 6x = -5 + 4x Solving -15 + 6x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 6x + -4x = -5 + 4x + -4x Combine like terms: 6x + -4x = 2x -15 + 2x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 2x = -5 + 0 -15 + 2x = -5 Add '15' to each side of the equation. -15 + 15 + 2x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -5 + 15 2x = -5 + 15 Combine like terms: -5 + 15 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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