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Simplifying 4(8 + 6x) + 5 = -14 + 7x (8 * 4 + 6x * 4) + 5 = -14 + 7x (32 + 24x) + 5 = -14 + 7x Reorder the terms: 32 + 5 + 24x = -14 + 7x Combine like terms: 32 + 5 = 37 37 + 24x = -14 + 7x Solving 37 + 24x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 37 + 24x + -7x = -14 + 7x + -7x Combine like terms: 24x + -7x = 17x 37 + 17x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 37 + 17x = -14 + 0 37 + 17x = -14 Add '-37' to each side of the equation. 37 + -37 + 17x = -14 + -37 Combine like terms: 37 + -37 = 0 0 + 17x = -14 + -37 17x = -14 + -37 Combine like terms: -14 + -37 = -51 17x = -51 Divide each side by '17'. x = -3 Simplifying x = -3
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