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Simplifying 6x + 12 + 8x + -15 = 13x Reorder the terms: 12 + -15 + 6x + 8x = 13x Combine like terms: 12 + -15 = -3 -3 + 6x + 8x = 13x Combine like terms: 6x + 8x = 14x -3 + 14x = 13x Solving -3 + 14x = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -3 + 14x + -13x = 13x + -13x Combine like terms: 14x + -13x = 1x -3 + 1x = 13x + -13x Combine like terms: 13x + -13x = 0 -3 + 1x = 0 Add '3' to each side of the equation. -3 + 3 + 1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 0 + 3 1x = 0 + 3 Combine like terms: 0 + 3 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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