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Simplifying (2x + 12) * 8 = x + 34 Reorder the terms: (12 + 2x) * 8 = x + 34 Reorder the terms for easier multiplication: 8(12 + 2x) = x + 34 (12 * 8 + 2x * 8) = x + 34 (96 + 16x) = x + 34 Reorder the terms: 96 + 16x = 34 + x Solving 96 + 16x = 34 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 96 + 16x + -1x = 34 + x + -1x Combine like terms: 16x + -1x = 15x 96 + 15x = 34 + x + -1x Combine like terms: x + -1x = 0 96 + 15x = 34 + 0 96 + 15x = 34 Add '-96' to each side of the equation. 96 + -96 + 15x = 34 + -96 Combine like terms: 96 + -96 = 0 0 + 15x = 34 + -96 15x = 34 + -96 Combine like terms: 34 + -96 = -62 15x = -62 Divide each side by '15'. x = -4.133333333 Simplifying x = -4.133333333
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