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Simplifying 2x + -7 + 8x + 12 = 13 + -7x + x Reorder the terms: -7 + 12 + 2x + 8x = 13 + -7x + x Combine like terms: -7 + 12 = 5 5 + 2x + 8x = 13 + -7x + x Combine like terms: 2x + 8x = 10x 5 + 10x = 13 + -7x + x Combine like terms: -7x + x = -6x 5 + 10x = 13 + -6x Solving 5 + 10x = 13 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5 + 10x + 6x = 13 + -6x + 6x Combine like terms: 10x + 6x = 16x 5 + 16x = 13 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 16x = 13 + 0 5 + 16x = 13 Add '-5' to each side of the equation. 5 + -5 + 16x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 16x = 13 + -5 16x = 13 + -5 Combine like terms: 13 + -5 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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