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Simplifying 13x + -5x + 12 = 7x + 18 + -9 Reorder the terms: 12 + 13x + -5x = 7x + 18 + -9 Combine like terms: 13x + -5x = 8x 12 + 8x = 7x + 18 + -9 Reorder the terms: 12 + 8x = 18 + -9 + 7x Combine like terms: 18 + -9 = 9 12 + 8x = 9 + 7x Solving 12 + 8x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 8x + -7x = 9 + 7x + -7x Combine like terms: 8x + -7x = 1x 12 + 1x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + 1x = 9 + 0 12 + 1x = 9 Add '-12' to each side of the equation. 12 + -12 + 1x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 9 + -12 1x = 9 + -12 Combine like terms: 9 + -12 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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