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Simplifying 5(3x + 10) = -38 + -9x Reorder the terms: 5(10 + 3x) = -38 + -9x (10 * 5 + 3x * 5) = -38 + -9x (50 + 15x) = -38 + -9x Solving 50 + 15x = -38 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 50 + 15x + 9x = -38 + -9x + 9x Combine like terms: 15x + 9x = 24x 50 + 24x = -38 + -9x + 9x Combine like terms: -9x + 9x = 0 50 + 24x = -38 + 0 50 + 24x = -38 Add '-50' to each side of the equation. 50 + -50 + 24x = -38 + -50 Combine like terms: 50 + -50 = 0 0 + 24x = -38 + -50 24x = -38 + -50 Combine like terms: -38 + -50 = -88 24x = -88 Divide each side by '24'. x = -3.666666667 Simplifying x = -3.666666667
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