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Simplifying 3(2x + 5) + 9 = 4x + -38 Reorder the terms: 3(5 + 2x) + 9 = 4x + -38 (5 * 3 + 2x * 3) + 9 = 4x + -38 (15 + 6x) + 9 = 4x + -38 Reorder the terms: 15 + 9 + 6x = 4x + -38 Combine like terms: 15 + 9 = 24 24 + 6x = 4x + -38 Reorder the terms: 24 + 6x = -38 + 4x Solving 24 + 6x = -38 + 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. 24 + 6x + -4x = -38 + 4x + -4x Combine like terms: 6x + -4x = 2x 24 + 2x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 2x = -38 + 0 24 + 2x = -38 Add '-24' to each side of the equation. 24 + -24 + 2x = -38 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = -38 + -24 2x = -38 + -24 Combine like terms: -38 + -24 = -62 2x = -62 Divide each side by '2'. x = -31 Simplifying x = -31
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