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Simplifying 8x + 2 + 3(x + 4) = 8(x + 4) + 2x Reorder the terms: 8x + 2 + 3(4 + x) = 8(x + 4) + 2x 8x + 2 + (4 * 3 + x * 3) = 8(x + 4) + 2x 8x + 2 + (12 + 3x) = 8(x + 4) + 2x Reorder the terms: 2 + 12 + 8x + 3x = 8(x + 4) + 2x Combine like terms: 2 + 12 = 14 14 + 8x + 3x = 8(x + 4) + 2x Combine like terms: 8x + 3x = 11x 14 + 11x = 8(x + 4) + 2x Reorder the terms: 14 + 11x = 8(4 + x) + 2x 14 + 11x = (4 * 8 + x * 8) + 2x 14 + 11x = (32 + 8x) + 2x Combine like terms: 8x + 2x = 10x 14 + 11x = 32 + 10x Solving 14 + 11x = 32 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 14 + 11x + -10x = 32 + 10x + -10x Combine like terms: 11x + -10x = 1x 14 + 1x = 32 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + 1x = 32 + 0 14 + 1x = 32 Add '-14' to each side of the equation. 14 + -14 + 1x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 32 + -14 1x = 32 + -14 Combine like terms: 32 + -14 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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