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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 = 12 24x = 12 Divide each side by '24'. x = 0.5 Simplifying x = 0.5
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