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Simplifying 3(x + 30) = 8x Reorder the terms: 3(30 + x) = 8x (30 * 3 + x * 3) = 8x (90 + 3x) = 8x Solving 90 + 3x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 90 + 3x + -8x = 8x + -8x Combine like terms: 3x + -8x = -5x 90 + -5x = 8x + -8x Combine like terms: 8x + -8x = 0 90 + -5x = 0 Add '-90' to each side of the equation. 90 + -90 + -5x = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -5x = 0 + -90 -5x = 0 + -90 Combine like terms: 0 + -90 = -90 -5x = -90 Divide each side by '-5'. x = 18 Simplifying x = 18
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