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Simplifying 4(2x + 3) + 6 = 4x + 14 Reorder the terms: 4(3 + 2x) + 6 = 4x + 14 (3 * 4 + 2x * 4) + 6 = 4x + 14 (12 + 8x) + 6 = 4x + 14 Reorder the terms: 12 + 6 + 8x = 4x + 14 Combine like terms: 12 + 6 = 18 18 + 8x = 4x + 14 Reorder the terms: 18 + 8x = 14 + 4x Solving 18 + 8x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 8x + -4x = 14 + 4x + -4x Combine like terms: 8x + -4x = 4x 18 + 4x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 4x = 14 + 0 18 + 4x = 14 Add '-18' to each side of the equation. 18 + -18 + 4x = 14 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 14 + -18 4x = 14 + -18 Combine like terms: 14 + -18 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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