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Simplifying 4(x + 4) + 6 = 8x + 6 Reorder the terms: 4(4 + x) + 6 = 8x + 6 (4 * 4 + x * 4) + 6 = 8x + 6 (16 + 4x) + 6 = 8x + 6 Reorder the terms: 16 + 6 + 4x = 8x + 6 Combine like terms: 16 + 6 = 22 22 + 4x = 8x + 6 Reorder the terms: 22 + 4x = 6 + 8x Solving 22 + 4x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 22 + 4x + -8x = 6 + 8x + -8x Combine like terms: 4x + -8x = -4x 22 + -4x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 22 + -4x = 6 + 0 22 + -4x = 6 Add '-22' to each side of the equation. 22 + -22 + -4x = 6 + -22 Combine like terms: 22 + -22 = 0 0 + -4x = 6 + -22 -4x = 6 + -22 Combine like terms: 6 + -22 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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