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Simplifying 5x + -12 + 2x = 3 + 8x + -15 Reorder the terms: -12 + 5x + 2x = 3 + 8x + -15 Combine like terms: 5x + 2x = 7x -12 + 7x = 3 + 8x + -15 Reorder the terms: -12 + 7x = 3 + -15 + 8x Combine like terms: 3 + -15 = -12 -12 + 7x = -12 + 8x Add '12' to each side of the equation. -12 + 12 + 7x = -12 + 12 + 8x Combine like terms: -12 + 12 = 0 0 + 7x = -12 + 12 + 8x 7x = -12 + 12 + 8x Combine like terms: -12 + 12 = 0 7x = 0 + 8x 7x = 8x Solving 7x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7x + -8x = 8x + -8x Combine like terms: 7x + -8x = -1x -1x = 8x + -8x Combine like terms: 8x + -8x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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