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Simplifying 4(6x + 10) = (x + 30) * 4 Reorder the terms: 4(10 + 6x) = (x + 30) * 4 (10 * 4 + 6x * 4) = (x + 30) * 4 (40 + 24x) = (x + 30) * 4 Reorder the terms: 40 + 24x = (30 + x) * 4 Reorder the terms for easier multiplication: 40 + 24x = 4(30 + x) 40 + 24x = (30 * 4 + x * 4) 40 + 24x = (120 + 4x) Solving 40 + 24x = 120 + 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. 40 + 24x + -4x = 120 + 4x + -4x Combine like terms: 24x + -4x = 20x 40 + 20x = 120 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + 20x = 120 + 0 40 + 20x = 120 Add '-40' to each side of the equation. 40 + -40 + 20x = 120 + -40 Combine like terms: 40 + -40 = 0 0 + 20x = 120 + -40 20x = 120 + -40 Combine like terms: 120 + -40 = 80 20x = 80 Divide each side by '20'. x = 4 Simplifying x = 4
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