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Simplifying 10x + -7 + 5x + -4 = 12x + -2 Reorder the terms: -7 + -4 + 10x + 5x = 12x + -2 Combine like terms: -7 + -4 = -11 -11 + 10x + 5x = 12x + -2 Combine like terms: 10x + 5x = 15x -11 + 15x = 12x + -2 Reorder the terms: -11 + 15x = -2 + 12x Solving -11 + 15x = -2 + 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. -11 + 15x + -12x = -2 + 12x + -12x Combine like terms: 15x + -12x = 3x -11 + 3x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 -11 + 3x = -2 + 0 -11 + 3x = -2 Add '11' to each side of the equation. -11 + 11 + 3x = -2 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = -2 + 11 3x = -2 + 11 Combine like terms: -2 + 11 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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