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Simplifying 5x + -21 = 12x + -65 Reorder the terms: -21 + 5x = 12x + -65 Reorder the terms: -21 + 5x = -65 + 12x Solving -21 + 5x = -65 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -21 + 5x + -12x = -65 + 12x + -12x Combine like terms: 5x + -12x = -7x -21 + -7x = -65 + 12x + -12x Combine like terms: 12x + -12x = 0 -21 + -7x = -65 + 0 -21 + -7x = -65 Add '21' to each side of the equation. -21 + 21 + -7x = -65 + 21 Combine like terms: -21 + 21 = 0 0 + -7x = -65 + 21 -7x = -65 + 21 Combine like terms: -65 + 21 = -44 -7x = -44 Divide each side by '-7'. x = 6.285714286 Simplifying x = 6.285714286
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