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Simplifying 6(4x + 5) = 7x + -38 Reorder the terms: 6(5 + 4x) = 7x + -38 (5 * 6 + 4x * 6) = 7x + -38 (30 + 24x) = 7x + -38 Reorder the terms: 30 + 24x = -38 + 7x Solving 30 + 24x = -38 + 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. 30 + 24x + -7x = -38 + 7x + -7x Combine like terms: 24x + -7x = 17x 30 + 17x = -38 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + 17x = -38 + 0 30 + 17x = -38 Add '-30' to each side of the equation. 30 + -30 + 17x = -38 + -30 Combine like terms: 30 + -30 = 0 0 + 17x = -38 + -30 17x = -38 + -30 Combine like terms: -38 + -30 = -68 17x = -68 Divide each side by '17'. x = -4 Simplifying x = -4
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