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Simplifying 4x + 8 = -9x + 2 Reorder the terms: 8 + 4x = -9x + 2 Reorder the terms: 8 + 4x = 2 + -9x Solving 8 + 4x = 2 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 8 + 4x + 9x = 2 + -9x + 9x Combine like terms: 4x + 9x = 13x 8 + 13x = 2 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 13x = 2 + 0 8 + 13x = 2 Add '-8' to each side of the equation. 8 + -8 + 13x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 13x = 2 + -8 13x = 2 + -8 Combine like terms: 2 + -8 = -6 13x = -6 Divide each side by '13'. x = -0.4615384615 Simplifying x = -0.4615384615
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