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Simplifying 3x + 5 + -5x = -6 + 13x + 41 Reorder the terms: 5 + 3x + -5x = -6 + 13x + 41 Combine like terms: 3x + -5x = -2x 5 + -2x = -6 + 13x + 41 Reorder the terms: 5 + -2x = -6 + 41 + 13x Combine like terms: -6 + 41 = 35 5 + -2x = 35 + 13x Solving 5 + -2x = 35 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 5 + -2x + -13x = 35 + 13x + -13x Combine like terms: -2x + -13x = -15x 5 + -15x = 35 + 13x + -13x Combine like terms: 13x + -13x = 0 5 + -15x = 35 + 0 5 + -15x = 35 Add '-5' to each side of the equation. 5 + -5 + -15x = 35 + -5 Combine like terms: 5 + -5 = 0 0 + -15x = 35 + -5 -15x = 35 + -5 Combine like terms: 35 + -5 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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