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Simplifying 13x + -5 = 2 + -6(x + 5) Reorder the terms: -5 + 13x = 2 + -6(x + 5) Reorder the terms: -5 + 13x = 2 + -6(5 + x) -5 + 13x = 2 + (5 * -6 + x * -6) -5 + 13x = 2 + (-30 + -6x) Combine like terms: 2 + -30 = -28 -5 + 13x = -28 + -6x Solving -5 + 13x = -28 + -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. -5 + 13x + 6x = -28 + -6x + 6x Combine like terms: 13x + 6x = 19x -5 + 19x = -28 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 19x = -28 + 0 -5 + 19x = -28 Add '5' to each side of the equation. -5 + 5 + 19x = -28 + 5 Combine like terms: -5 + 5 = 0 0 + 19x = -28 + 5 19x = -28 + 5 Combine like terms: -28 + 5 = -23 19x = -23 Divide each side by '19'. x = -1.210526316 Simplifying x = -1.210526316
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