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Simplifying 5x + 8 + -12 = 6x + -2x + 3 Reorder the terms: 8 + -12 + 5x = 6x + -2x + 3 Combine like terms: 8 + -12 = -4 -4 + 5x = 6x + -2x + 3 Reorder the terms: -4 + 5x = 3 + 6x + -2x Combine like terms: 6x + -2x = 4x -4 + 5x = 3 + 4x Solving -4 + 5x = 3 + 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. -4 + 5x + -4x = 3 + 4x + -4x Combine like terms: 5x + -4x = 1x -4 + 1x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 1x = 3 + 0 -4 + 1x = 3 Add '4' to each side of the equation. -4 + 4 + 1x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 3 + 4 1x = 3 + 4 Combine like terms: 3 + 4 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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