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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 = 18x 50 + 18x = -38 + -3x + 3x Combine like terms: -3x + 3x = 0 50 + 18x = -38 + 0 50 + 18x = -38 Add '-50' to each side of the equation. 50 + -50 + 18x = -38 + -50 Combine like terms: 50 + -50 = 0 0 + 18x = -38 + -50 18x = -38 + -50 Combine like terms: -38 + -50 = -88 18x = -88 Divide each side by '18'. x = -4.888888889 Simplifying x = -4.888888889
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