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Simplifying 54x + 3(x + 30) + (x + 30) * 4 + 50 = 3493 Reorder the terms: 54x + 3(30 + x) + (x + 30) * 4 + 50 = 3493 54x + (30 * 3 + x * 3) + (x + 30) * 4 + 50 = 3493 54x + (90 + 3x) + (x + 30) * 4 + 50 = 3493 Reorder the terms: 54x + 90 + 3x + (30 + x) * 4 + 50 = 3493 Reorder the terms for easier multiplication: 54x + 90 + 3x + 4(30 + x) + 50 = 3493 54x + 90 + 3x + (30 * 4 + x * 4) + 50 = 3493 54x + 90 + 3x + (120 + 4x) + 50 = 3493 Reorder the terms: 90 + 120 + 50 + 54x + 3x + 4x = 3493 Combine like terms: 90 + 120 = 210 210 + 50 + 54x + 3x + 4x = 3493 Combine like terms: 210 + 50 = 260 260 + 54x + 3x + 4x = 3493 Combine like terms: 54x + 3x = 57x 260 + 57x + 4x = 3493 Combine like terms: 57x + 4x = 61x 260 + 61x = 3493 Solving 260 + 61x = 3493 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-260' to each side of the equation. 260 + -260 + 61x = 3493 + -260 Combine like terms: 260 + -260 = 0 0 + 61x = 3493 + -260 61x = 3493 + -260 Combine like terms: 3493 + -260 = 3233 61x = 3233 Divide each side by '61'. x = 53 Simplifying x = 53
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