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Simplifying 6(x + 3) + 8 + -5(x + 2) = 0 Reorder the terms: 6(3 + x) + 8 + -5(x + 2) = 0 (3 * 6 + x * 6) + 8 + -5(x + 2) = 0 (18 + 6x) + 8 + -5(x + 2) = 0 Reorder the terms: 18 + 6x + 8 + -5(2 + x) = 0 18 + 6x + 8 + (2 * -5 + x * -5) = 0 18 + 6x + 8 + (-10 + -5x) = 0 Reorder the terms: 18 + 8 + -10 + 6x + -5x = 0 Combine like terms: 18 + 8 = 26 26 + -10 + 6x + -5x = 0 Combine like terms: 26 + -10 = 16 16 + 6x + -5x = 0 Combine like terms: 6x + -5x = 1x 16 + 1x = 0 Solving 16 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 0 + -16 1x = 0 + -16 Combine like terms: 0 + -16 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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