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Simplifying 2x + 12 + -1x = 15 + -7x + -8 Reorder the terms: 12 + 2x + -1x = 15 + -7x + -8 Combine like terms: 2x + -1x = 1x 12 + 1x = 15 + -7x + -8 Reorder the terms: 12 + 1x = 15 + -8 + -7x Combine like terms: 15 + -8 = 7 12 + 1x = 7 + -7x Solving 12 + 1x = 7 + -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 + 1x + 7x = 7 + -7x + 7x Combine like terms: 1x + 7x = 8x 12 + 8x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 8x = 7 + 0 12 + 8x = 7 Add '-12' to each side of the equation. 12 + -12 + 8x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 7 + -12 8x = 7 + -12 Combine like terms: 7 + -12 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625
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