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Simplifying 10x + 13 = -17x + 5 Reorder the terms: 13 + 10x = -17x + 5 Reorder the terms: 13 + 10x = 5 + -17x Solving 13 + 10x = 5 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 13 + 10x + 17x = 5 + -17x + 17x Combine like terms: 10x + 17x = 27x 13 + 27x = 5 + -17x + 17x Combine like terms: -17x + 17x = 0 13 + 27x = 5 + 0 13 + 27x = 5 Add '-13' to each side of the equation. 13 + -13 + 27x = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 27x = 5 + -13 27x = 5 + -13 Combine like terms: 5 + -13 = -8 27x = -8 Divide each side by '27'. x = -0.2962962963 Simplifying x = -0.2962962963
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