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Simplifying 3(4X + 1) + -5 = X + 53 Reorder the terms: 3(1 + 4X) + -5 = X + 53 (1 * 3 + 4X * 3) + -5 = X + 53 (3 + 12X) + -5 = X + 53 Reorder the terms: 3 + -5 + 12X = X + 53 Combine like terms: 3 + -5 = -2 -2 + 12X = X + 53 Reorder the terms: -2 + 12X = 53 + X Solving -2 + 12X = 53 + X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. -2 + 12X + -1X = 53 + X + -1X Combine like terms: 12X + -1X = 11X -2 + 11X = 53 + X + -1X Combine like terms: X + -1X = 0 -2 + 11X = 53 + 0 -2 + 11X = 53 Add '2' to each side of the equation. -2 + 2 + 11X = 53 + 2 Combine like terms: -2 + 2 = 0 0 + 11X = 53 + 2 11X = 53 + 2 Combine like terms: 53 + 2 = 55 11X = 55 Divide each side by '11'. X = 5 Simplifying X = 5
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