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Simplifying 14 + 19x = 5(15x + 22) + 6 Reorder the terms: 14 + 19x = 5(22 + 15x) + 6 14 + 19x = (22 * 5 + 15x * 5) + 6 14 + 19x = (110 + 75x) + 6 Reorder the terms: 14 + 19x = 110 + 6 + 75x Combine like terms: 110 + 6 = 116 14 + 19x = 116 + 75x Solving 14 + 19x = 116 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 14 + 19x + -75x = 116 + 75x + -75x Combine like terms: 19x + -75x = -56x 14 + -56x = 116 + 75x + -75x Combine like terms: 75x + -75x = 0 14 + -56x = 116 + 0 14 + -56x = 116 Add '-14' to each side of the equation. 14 + -14 + -56x = 116 + -14 Combine like terms: 14 + -14 = 0 0 + -56x = 116 + -14 -56x = 116 + -14 Combine like terms: 116 + -14 = 102 -56x = 102 Divide each side by '-56'. x = -1.821428571 Simplifying x = -1.821428571
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