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Simplifying (x + 8) * 3 + 4 = (x + 6) * 2 Reorder the terms: (8 + x) * 3 + 4 = (x + 6) * 2 Reorder the terms for easier multiplication: 3(8 + x) + 4 = (x + 6) * 2 (8 * 3 + x * 3) + 4 = (x + 6) * 2 (24 + 3x) + 4 = (x + 6) * 2 Reorder the terms: 24 + 4 + 3x = (x + 6) * 2 Combine like terms: 24 + 4 = 28 28 + 3x = (x + 6) * 2 Reorder the terms: 28 + 3x = (6 + x) * 2 Reorder the terms for easier multiplication: 28 + 3x = 2(6 + x) 28 + 3x = (6 * 2 + x * 2) 28 + 3x = (12 + 2x) Solving 28 + 3x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 28 + 3x + -2x = 12 + 2x + -2x Combine like terms: 3x + -2x = 1x 28 + 1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 1x = 12 + 0 28 + 1x = 12 Add '-28' to each side of the equation. 28 + -28 + 1x = 12 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = 12 + -28 1x = 12 + -28 Combine like terms: 12 + -28 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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