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Simplifying 6x + -12 + -1x = 3x + 53 + x Reorder the terms: -12 + 6x + -1x = 3x + 53 + x Combine like terms: 6x + -1x = 5x -12 + 5x = 3x + 53 + x Reorder the terms: -12 + 5x = 53 + 3x + x Combine like terms: 3x + x = 4x -12 + 5x = 53 + 4x Solving -12 + 5x = 53 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 5x + -4x = 53 + 4x + -4x Combine like terms: 5x + -4x = 1x -12 + 1x = 53 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 1x = 53 + 0 -12 + 1x = 53 Add '12' to each side of the equation. -12 + 12 + 1x = 53 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 53 + 12 1x = 53 + 12 Combine like terms: 53 + 12 = 65 1x = 65 Divide each side by '1'. x = 65 Simplifying x = 65
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