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Simplifying 16x + -3(2x + -8) = 34 + 2(2x + 1) Reorder the terms: 16x + -3(-8 + 2x) = 34 + 2(2x + 1) 16x + (-8 * -3 + 2x * -3) = 34 + 2(2x + 1) 16x + (24 + -6x) = 34 + 2(2x + 1) Reorder the terms: 24 + 16x + -6x = 34 + 2(2x + 1) Combine like terms: 16x + -6x = 10x 24 + 10x = 34 + 2(2x + 1) Reorder the terms: 24 + 10x = 34 + 2(1 + 2x) 24 + 10x = 34 + (1 * 2 + 2x * 2) 24 + 10x = 34 + (2 + 4x) Combine like terms: 34 + 2 = 36 24 + 10x = 36 + 4x Solving 24 + 10x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 10x + -4x = 36 + 4x + -4x Combine like terms: 10x + -4x = 6x 24 + 6x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 6x = 36 + 0 24 + 6x = 36 Add '-24' to each side of the equation. 24 + -24 + 6x = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 36 + -24 6x = 36 + -24 Combine like terms: 36 + -24 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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