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Simplifying (6x) + -30 = (x + 3) * 5 Reorder the terms: -30 + (6x) = (x + 3) * 5 Reorder the terms: -30 + (6x) = (3 + x) * 5 Reorder the terms for easier multiplication: -30 + (6x) = 5(3 + x) -30 + (6x) = (3 * 5 + x * 5) -30 + (6x) = (15 + 5x) Solving -30 + (6x) = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -30 + (6x) + -5x = 15 + 5x + -5x Combine like terms: (6x) + -5x = 1x -30 + 1x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 1x = 15 + 0 -30 + 1x = 15 Add '30' to each side of the equation. -30 + 30 + 1x = 15 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = 15 + 30 1x = 15 + 30 Combine like terms: 15 + 30 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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