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Simplifying (2x + 1) * 2 + -1x = 8 + -3(x + -8) Reorder the terms: (1 + 2x) * 2 + -1x = 8 + -3(x + -8) Reorder the terms for easier multiplication: 2(1 + 2x) + -1x = 8 + -3(x + -8) (1 * 2 + 2x * 2) + -1x = 8 + -3(x + -8) (2 + 4x) + -1x = 8 + -3(x + -8) Combine like terms: 4x + -1x = 3x 2 + 3x = 8 + -3(x + -8) Reorder the terms: 2 + 3x = 8 + -3(-8 + x) 2 + 3x = 8 + (-8 * -3 + x * -3) 2 + 3x = 8 + (24 + -3x) Combine like terms: 8 + 24 = 32 2 + 3x = 32 + -3x Solving 2 + 3x = 32 + -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 + 3x + 3x = 32 + -3x + 3x Combine like terms: 3x + 3x = 6x 2 + 6x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 6x = 32 + 0 2 + 6x = 32 Add '-2' to each side of the equation. 2 + -2 + 6x = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 32 + -2 6x = 32 + -2 Combine like terms: 32 + -2 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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