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Simplifying -8 + 14x + 2(x + 5) = 3x + -24 Reorder the terms: -8 + 14x + 2(5 + x) = 3x + -24 -8 + 14x + (5 * 2 + x * 2) = 3x + -24 -8 + 14x + (10 + 2x) = 3x + -24 Reorder the terms: -8 + 10 + 14x + 2x = 3x + -24 Combine like terms: -8 + 10 = 2 2 + 14x + 2x = 3x + -24 Combine like terms: 14x + 2x = 16x 2 + 16x = 3x + -24 Reorder the terms: 2 + 16x = -24 + 3x Solving 2 + 16x = -24 + 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. 2 + 16x + -3x = -24 + 3x + -3x Combine like terms: 16x + -3x = 13x 2 + 13x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 13x = -24 + 0 2 + 13x = -24 Add '-2' to each side of the equation. 2 + -2 + 13x = -24 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = -24 + -2 13x = -24 + -2 Combine like terms: -24 + -2 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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