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Simplifying 5x + 5(6 + 12x) + 90 = 450 + 8x 5x + (6 * 5 + 12x * 5) + 90 = 450 + 8x 5x + (30 + 60x) + 90 = 450 + 8x Reorder the terms: 30 + 90 + 5x + 60x = 450 + 8x Combine like terms: 30 + 90 = 120 120 + 5x + 60x = 450 + 8x Combine like terms: 5x + 60x = 65x 120 + 65x = 450 + 8x Solving 120 + 65x = 450 + 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. 120 + 65x + -8x = 450 + 8x + -8x Combine like terms: 65x + -8x = 57x 120 + 57x = 450 + 8x + -8x Combine like terms: 8x + -8x = 0 120 + 57x = 450 + 0 120 + 57x = 450 Add '-120' to each side of the equation. 120 + -120 + 57x = 450 + -120 Combine like terms: 120 + -120 = 0 0 + 57x = 450 + -120 57x = 450 + -120 Combine like terms: 450 + -120 = 330 57x = 330 Divide each side by '57'. x = 5.789473684 Simplifying x = 5.789473684
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