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Simplifying -53 + 12x = 3x + 100 Reorder the terms: -53 + 12x = 100 + 3x Solving -53 + 12x = 100 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -53 + 12x + -3x = 100 + 3x + -3x Combine like terms: 12x + -3x = 9x -53 + 9x = 100 + 3x + -3x Combine like terms: 3x + -3x = 0 -53 + 9x = 100 + 0 -53 + 9x = 100 Add '53' to each side of the equation. -53 + 53 + 9x = 100 + 53 Combine like terms: -53 + 53 = 0 0 + 9x = 100 + 53 9x = 100 + 53 Combine like terms: 100 + 53 = 153 9x = 153 Divide each side by '9'. x = 17 Simplifying x = 17
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