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Simplifying 3(x + 8) + -2(x + -6) = 13 Reorder the terms: 3(8 + x) + -2(x + -6) = 13 (8 * 3 + x * 3) + -2(x + -6) = 13 (24 + 3x) + -2(x + -6) = 13 Reorder the terms: 24 + 3x + -2(-6 + x) = 13 24 + 3x + (-6 * -2 + x * -2) = 13 24 + 3x + (12 + -2x) = 13 Reorder the terms: 24 + 12 + 3x + -2x = 13 Combine like terms: 24 + 12 = 36 36 + 3x + -2x = 13 Combine like terms: 3x + -2x = 1x 36 + 1x = 13 Solving 36 + 1x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 1x = 13 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 13 + -36 1x = 13 + -36 Combine like terms: 13 + -36 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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