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Simplifying 5x + -90 = 78 + 12x Reorder the terms: -90 + 5x = 78 + 12x Solving -90 + 5x = 78 + 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. -90 + 5x + -12x = 78 + 12x + -12x Combine like terms: 5x + -12x = -7x -90 + -7x = 78 + 12x + -12x Combine like terms: 12x + -12x = 0 -90 + -7x = 78 + 0 -90 + -7x = 78 Add '90' to each side of the equation. -90 + 90 + -7x = 78 + 90 Combine like terms: -90 + 90 = 0 0 + -7x = 78 + 90 -7x = 78 + 90 Combine like terms: 78 + 90 = 168 -7x = 168 Divide each side by '-7'. x = -24 Simplifying x = -24
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