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Simplifying 6x + 17 + 8x = 12x + 3 + 4x + 12 Reorder the terms: 17 + 6x + 8x = 12x + 3 + 4x + 12 Combine like terms: 6x + 8x = 14x 17 + 14x = 12x + 3 + 4x + 12 Reorder the terms: 17 + 14x = 3 + 12 + 12x + 4x Combine like terms: 3 + 12 = 15 17 + 14x = 15 + 12x + 4x Combine like terms: 12x + 4x = 16x 17 + 14x = 15 + 16x Solving 17 + 14x = 15 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 17 + 14x + -16x = 15 + 16x + -16x Combine like terms: 14x + -16x = -2x 17 + -2x = 15 + 16x + -16x Combine like terms: 16x + -16x = 0 17 + -2x = 15 + 0 17 + -2x = 15 Add '-17' to each side of the equation. 17 + -17 + -2x = 15 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 15 + -17 -2x = 15 + -17 Combine like terms: 15 + -17 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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