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Simplifying 5(x + -3) = 30 + -10x Reorder the terms: 5(-3 + x) = 30 + -10x (-3 * 5 + x * 5) = 30 + -10x (-15 + 5x) = 30 + -10x Solving -15 + 5x = 30 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -15 + 5x + 10x = 30 + -10x + 10x Combine like terms: 5x + 10x = 15x -15 + 15x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 -15 + 15x = 30 + 0 -15 + 15x = 30 Add '15' to each side of the equation. -15 + 15 + 15x = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 15x = 30 + 15 15x = 30 + 15 Combine like terms: 30 + 15 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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