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Simplifying 4(4x + 6) + 14 = 6(2x + 18) + 38 Reorder the terms: 4(6 + 4x) + 14 = 6(2x + 18) + 38 (6 * 4 + 4x * 4) + 14 = 6(2x + 18) + 38 (24 + 16x) + 14 = 6(2x + 18) + 38 Reorder the terms: 24 + 14 + 16x = 6(2x + 18) + 38 Combine like terms: 24 + 14 = 38 38 + 16x = 6(2x + 18) + 38 Reorder the terms: 38 + 16x = 6(18 + 2x) + 38 38 + 16x = (18 * 6 + 2x * 6) + 38 38 + 16x = (108 + 12x) + 38 Reorder the terms: 38 + 16x = 108 + 38 + 12x Combine like terms: 108 + 38 = 146 38 + 16x = 146 + 12x Solving 38 + 16x = 146 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 38 + 16x + -12x = 146 + 12x + -12x Combine like terms: 16x + -12x = 4x 38 + 4x = 146 + 12x + -12x Combine like terms: 12x + -12x = 0 38 + 4x = 146 + 0 38 + 4x = 146 Add '-38' to each side of the equation. 38 + -38 + 4x = 146 + -38 Combine like terms: 38 + -38 = 0 0 + 4x = 146 + -38 4x = 146 + -38 Combine like terms: 146 + -38 = 108 4x = 108 Divide each side by '4'. x = 27 Simplifying x = 27
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