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Simplifying 30 + -10x + -5 + 15 + 6x = 105 + -15x Reorder the terms: 30 + -5 + 15 + -10x + 6x = 105 + -15x Combine like terms: 30 + -5 = 25 25 + 15 + -10x + 6x = 105 + -15x Combine like terms: 25 + 15 = 40 40 + -10x + 6x = 105 + -15x Combine like terms: -10x + 6x = -4x 40 + -4x = 105 + -15x Solving 40 + -4x = 105 + -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. 40 + -4x + 15x = 105 + -15x + 15x Combine like terms: -4x + 15x = 11x 40 + 11x = 105 + -15x + 15x Combine like terms: -15x + 15x = 0 40 + 11x = 105 + 0 40 + 11x = 105 Add '-40' to each side of the equation. 40 + -40 + 11x = 105 + -40 Combine like terms: 40 + -40 = 0 0 + 11x = 105 + -40 11x = 105 + -40 Combine like terms: 105 + -40 = 65 11x = 65 Divide each side by '11'. x = 5.909090909 Simplifying x = 5.909090909
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