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Simplifying 90 + 9x = 4(x + 30) Reorder the terms: 90 + 9x = 4(30 + x) 90 + 9x = (30 * 4 + x * 4) 90 + 9x = (120 + 4x) Solving 90 + 9x = 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. 90 + 9x + -4x = 120 + 4x + -4x Combine like terms: 9x + -4x = 5x 90 + 5x = 120 + 4x + -4x Combine like terms: 4x + -4x = 0 90 + 5x = 120 + 0 90 + 5x = 120 Add '-90' to each side of the equation. 90 + -90 + 5x = 120 + -90 Combine like terms: 90 + -90 = 0 0 + 5x = 120 + -90 5x = 120 + -90 Combine like terms: 120 + -90 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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