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Simplifying -7x + 90 = -8x + 12 + -12x Reorder the terms: 90 + -7x = -8x + 12 + -12x Reorder the terms: 90 + -7x = 12 + -8x + -12x Combine like terms: -8x + -12x = -20x 90 + -7x = 12 + -20x Solving 90 + -7x = 12 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 90 + -7x + 20x = 12 + -20x + 20x Combine like terms: -7x + 20x = 13x 90 + 13x = 12 + -20x + 20x Combine like terms: -20x + 20x = 0 90 + 13x = 12 + 0 90 + 13x = 12 Add '-90' to each side of the equation. 90 + -90 + 13x = 12 + -90 Combine like terms: 90 + -90 = 0 0 + 13x = 12 + -90 13x = 12 + -90 Combine like terms: 12 + -90 = -78 13x = -78 Divide each side by '13'. x = -6 Simplifying x = -6
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