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Simplifying 5(3x + 10) = 3x + -38 Reorder the terms: 5(10 + 3x) = 3x + -38 (10 * 5 + 3x * 5) = 3x + -38 (50 + 15x) = 3x + -38 Reorder the terms: 50 + 15x = -38 + 3x Solving 50 + 15x = -38 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 50 + 15x + -3x = -38 + 3x + -3x Combine like terms: 15x + -3x = 12x 50 + 12x = -38 + 3x + -3x Combine like terms: 3x + -3x = 0 50 + 12x = -38 + 0 50 + 12x = -38 Add '-50' to each side of the equation. 50 + -50 + 12x = -38 + -50 Combine like terms: 50 + -50 = 0 0 + 12x = -38 + -50 12x = -38 + -50 Combine like terms: -38 + -50 = -88 12x = -88 Divide each side by '12'. x = -7.333333333 Simplifying x = -7.333333333
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