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Simplifying 13(x + 6) + -3 = 3x + -5 Reorder the terms: 13(6 + x) + -3 = 3x + -5 (6 * 13 + x * 13) + -3 = 3x + -5 (78 + 13x) + -3 = 3x + -5 Reorder the terms: 78 + -3 + 13x = 3x + -5 Combine like terms: 78 + -3 = 75 75 + 13x = 3x + -5 Reorder the terms: 75 + 13x = -5 + 3x Solving 75 + 13x = -5 + 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. 75 + 13x + -3x = -5 + 3x + -3x Combine like terms: 13x + -3x = 10x 75 + 10x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 75 + 10x = -5 + 0 75 + 10x = -5 Add '-75' to each side of the equation. 75 + -75 + 10x = -5 + -75 Combine like terms: 75 + -75 = 0 0 + 10x = -5 + -75 10x = -5 + -75 Combine like terms: -5 + -75 = -80 10x = -80 Divide each side by '10'. x = -8 Simplifying x = -8
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