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Simplifying 12 + -15x = -10x + 5 + -12x Reorder the terms: 12 + -15x = 5 + -10x + -12x Combine like terms: -10x + -12x = -22x 12 + -15x = 5 + -22x Solving 12 + -15x = 5 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 12 + -15x + 22x = 5 + -22x + 22x Combine like terms: -15x + 22x = 7x 12 + 7x = 5 + -22x + 22x Combine like terms: -22x + 22x = 0 12 + 7x = 5 + 0 12 + 7x = 5 Add '-12' to each side of the equation. 12 + -12 + 7x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 5 + -12 7x = 5 + -12 Combine like terms: 5 + -12 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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