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Simplifying 12x + 10 + -4x = 3x + -7 Reorder the terms: 10 + 12x + -4x = 3x + -7 Combine like terms: 12x + -4x = 8x 10 + 8x = 3x + -7 Reorder the terms: 10 + 8x = -7 + 3x Solving 10 + 8x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 8x + -3x = -7 + 3x + -3x Combine like terms: 8x + -3x = 5x 10 + 5x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 5x = -7 + 0 10 + 5x = -7 Add '-10' to each side of the equation. 10 + -10 + 5x = -7 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = -7 + -10 5x = -7 + -10 Combine like terms: -7 + -10 = -17 5x = -17 Divide each side by '5'. x = -3.4 Simplifying x = -3.4
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