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Simplifying 4x + 7x + -17 = 3x + 12x + -3 Reorder the terms: -17 + 4x + 7x = 3x + 12x + -3 Combine like terms: 4x + 7x = 11x -17 + 11x = 3x + 12x + -3 Reorder the terms: -17 + 11x = -3 + 3x + 12x Combine like terms: 3x + 12x = 15x -17 + 11x = -3 + 15x Solving -17 + 11x = -3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -17 + 11x + -15x = -3 + 15x + -15x Combine like terms: 11x + -15x = -4x -17 + -4x = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 -17 + -4x = -3 + 0 -17 + -4x = -3 Add '17' to each side of the equation. -17 + 17 + -4x = -3 + 17 Combine like terms: -17 + 17 = 0 0 + -4x = -3 + 17 -4x = -3 + 17 Combine like terms: -3 + 17 = 14 -4x = 14 Divide each side by '-4'. x = -3.5 Simplifying x = -3.5
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