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Simplifying 5(2x + 24) = 4(x + 30) Reorder the terms: 5(24 + 2x) = 4(x + 30) (24 * 5 + 2x * 5) = 4(x + 30) (120 + 10x) = 4(x + 30) Reorder the terms: 120 + 10x = 4(30 + x) 120 + 10x = (30 * 4 + x * 4) 120 + 10x = (120 + 4x) Add '-120' to each side of the equation. 120 + -120 + 10x = 120 + -120 + 4x Combine like terms: 120 + -120 = 0 0 + 10x = 120 + -120 + 4x 10x = 120 + -120 + 4x Combine like terms: 120 + -120 = 0 10x = 0 + 4x 10x = 4x Solving 10x = 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. 10x + -4x = 4x + -4x Combine like terms: 10x + -4x = 6x 6x = 4x + -4x Combine like terms: 4x + -4x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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