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Simplifying 15x + -5 + -7x + 3 = 12x + 22 Reorder the terms: -5 + 3 + 15x + -7x = 12x + 22 Combine like terms: -5 + 3 = -2 -2 + 15x + -7x = 12x + 22 Combine like terms: 15x + -7x = 8x -2 + 8x = 12x + 22 Reorder the terms: -2 + 8x = 22 + 12x Solving -2 + 8x = 22 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 8x + -12x = 22 + 12x + -12x Combine like terms: 8x + -12x = -4x -2 + -4x = 22 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -4x = 22 + 0 -2 + -4x = 22 Add '2' to each side of the equation. -2 + 2 + -4x = 22 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 22 + 2 -4x = 22 + 2 Combine like terms: 22 + 2 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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