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Simplifying 3x + -8 + 4x + 12 = 6x + 15 Reorder the terms: -8 + 12 + 3x + 4x = 6x + 15 Combine like terms: -8 + 12 = 4 4 + 3x + 4x = 6x + 15 Combine like terms: 3x + 4x = 7x 4 + 7x = 6x + 15 Reorder the terms: 4 + 7x = 15 + 6x Solving 4 + 7x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 7x + -6x = 15 + 6x + -6x Combine like terms: 7x + -6x = 1x 4 + 1x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 1x = 15 + 0 4 + 1x = 15 Add '-4' to each side of the equation. 4 + -4 + 1x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 15 + -4 1x = 15 + -4 Combine like terms: 15 + -4 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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