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Simplifying 5(x + -3) = 30 + -4x Reorder the terms: 5(-3 + x) = 30 + -4x (-3 * 5 + x * 5) = 30 + -4x (-15 + 5x) = 30 + -4x Solving -15 + 5x = 30 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -15 + 5x + 4x = 30 + -4x + 4x Combine like terms: 5x + 4x = 9x -15 + 9x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 9x = 30 + 0 -15 + 9x = 30 Add '15' to each side of the equation. -15 + 15 + 9x = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = 30 + 15 9x = 30 + 15 Combine like terms: 30 + 15 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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