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Simplifying 5x + 6 = -3x + 12 Reorder the terms: 6 + 5x = -3x + 12 Reorder the terms: 6 + 5x = 12 + -3x Solving 6 + 5x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + 5x + 3x = 12 + -3x + 3x Combine like terms: 5x + 3x = 8x 6 + 8x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 8x = 12 + 0 6 + 8x = 12 Add '-6' to each side of the equation. 6 + -6 + 8x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 12 + -6 8x = 12 + -6 Combine like terms: 12 + -6 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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