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Simplifying 17x + 3 + -15x + 2 = 12x + 7 + -11x + 5 Reorder the terms: 3 + 2 + 17x + -15x = 12x + 7 + -11x + 5 Combine like terms: 3 + 2 = 5 5 + 17x + -15x = 12x + 7 + -11x + 5 Combine like terms: 17x + -15x = 2x 5 + 2x = 12x + 7 + -11x + 5 Reorder the terms: 5 + 2x = 7 + 5 + 12x + -11x Combine like terms: 7 + 5 = 12 5 + 2x = 12 + 12x + -11x Combine like terms: 12x + -11x = 1x 5 + 2x = 12 + 1x Solving 5 + 2x = 12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 2x + -1x = 12 + 1x + -1x Combine like terms: 2x + -1x = 1x 5 + 1x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 1x = 12 + 0 5 + 1x = 12 Add '-5' to each side of the equation. 5 + -5 + 1x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 12 + -5 1x = 12 + -5 Combine like terms: 12 + -5 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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