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Simplifying 4x + -5 + 6x + 13 = -2 + -3x + 4 Reorder the terms: -5 + 13 + 4x + 6x = -2 + -3x + 4 Combine like terms: -5 + 13 = 8 8 + 4x + 6x = -2 + -3x + 4 Combine like terms: 4x + 6x = 10x 8 + 10x = -2 + -3x + 4 Reorder the terms: 8 + 10x = -2 + 4 + -3x Combine like terms: -2 + 4 = 2 8 + 10x = 2 + -3x Solving 8 + 10x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + 10x + 3x = 2 + -3x + 3x Combine like terms: 10x + 3x = 13x 8 + 13x = 2 + -3x + 3x Combine like terms: -3x + 3x = 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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