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Simplifying 3x + 17 + -9x = 19x + 13x + -2 Reorder the terms: 17 + 3x + -9x = 19x + 13x + -2 Combine like terms: 3x + -9x = -6x 17 + -6x = 19x + 13x + -2 Reorder the terms: 17 + -6x = -2 + 19x + 13x Combine like terms: 19x + 13x = 32x 17 + -6x = -2 + 32x Solving 17 + -6x = -2 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 17 + -6x + -32x = -2 + 32x + -32x Combine like terms: -6x + -32x = -38x 17 + -38x = -2 + 32x + -32x Combine like terms: 32x + -32x = 0 17 + -38x = -2 + 0 17 + -38x = -2 Add '-17' to each side of the equation. 17 + -17 + -38x = -2 + -17 Combine like terms: 17 + -17 = 0 0 + -38x = -2 + -17 -38x = -2 + -17 Combine like terms: -2 + -17 = -19 -38x = -19 Divide each side by '-38'. x = 0.5 Simplifying x = 0.5
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