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Simplifying 4x + 7 + -6x = 10 + 3x + 12 Reorder the terms: 7 + 4x + -6x = 10 + 3x + 12 Combine like terms: 4x + -6x = -2x 7 + -2x = 10 + 3x + 12 Reorder the terms: 7 + -2x = 10 + 12 + 3x Combine like terms: 10 + 12 = 22 7 + -2x = 22 + 3x Solving 7 + -2x = 22 + 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. 7 + -2x + -3x = 22 + 3x + -3x Combine like terms: -2x + -3x = -5x 7 + -5x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -5x = 22 + 0 7 + -5x = 22 Add '-7' to each side of the equation. 7 + -7 + -5x = 22 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 22 + -7 -5x = 22 + -7 Combine like terms: 22 + -7 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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