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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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