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Simplifying 8(3x + 2) = 16 + -6(x + 5) Reorder the terms: 8(2 + 3x) = 16 + -6(x + 5) (2 * 8 + 3x * 8) = 16 + -6(x + 5) (16 + 24x) = 16 + -6(x + 5) Reorder the terms: 16 + 24x = 16 + -6(5 + x) 16 + 24x = 16 + (5 * -6 + x * -6) 16 + 24x = 16 + (-30 + -6x) Combine like terms: 16 + -30 = -14 16 + 24x = -14 + -6x Solving 16 + 24x = -14 + -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. 16 + 24x + 6x = -14 + -6x + 6x Combine like terms: 24x + 6x = 30x 16 + 30x = -14 + -6x + 6x Combine like terms: -6x + 6x = 0 16 + 30x = -14 + 0 16 + 30x = -14 Add '-16' to each side of the equation. 16 + -16 + 30x = -14 + -16 Combine like terms: 16 + -16 = 0 0 + 30x = -14 + -16 30x = -14 + -16 Combine like terms: -14 + -16 = -30 30x = -30 Divide each side by '30'. x = -1 Simplifying x = -1
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