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Simplifying 6x + 5 = -3x + -13 Reorder the terms: 5 + 6x = -3x + -13 Reorder the terms: 5 + 6x = -13 + -3x Solving 5 + 6x = -13 + -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. 5 + 6x + 3x = -13 + -3x + 3x Combine like terms: 6x + 3x = 9x 5 + 9x = -13 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 9x = -13 + 0 5 + 9x = -13 Add '-5' to each side of the equation. 5 + -5 + 9x = -13 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = -13 + -5 9x = -13 + -5 Combine like terms: -13 + -5 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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