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Simplifying 4x + 13 = -6x + -17 Reorder the terms: 13 + 4x = -6x + -17 Reorder the terms: 13 + 4x = -17 + -6x Solving 13 + 4x = -17 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 13 + 4x + 6x = -17 + -6x + 6x Combine like terms: 4x + 6x = 10x 13 + 10x = -17 + -6x + 6x Combine like terms: -6x + 6x = 0 13 + 10x = -17 + 0 13 + 10x = -17 Add '-13' to each side of the equation. 13 + -13 + 10x = -17 + -13 Combine like terms: 13 + -13 = 0 0 + 10x = -17 + -13 10x = -17 + -13 Combine like terms: -17 + -13 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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