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Simplifying 4x + 3 + -2x = 7x + -12 + 5 Reorder the terms: 3 + 4x + -2x = 7x + -12 + 5 Combine like terms: 4x + -2x = 2x 3 + 2x = 7x + -12 + 5 Reorder the terms: 3 + 2x = -12 + 5 + 7x Combine like terms: -12 + 5 = -7 3 + 2x = -7 + 7x Solving 3 + 2x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + 2x + -7x = -7 + 7x + -7x Combine like terms: 2x + -7x = -5x 3 + -5x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -5x = -7 + 0 3 + -5x = -7 Add '-3' to each side of the equation. 3 + -3 + -5x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = -7 + -3 -5x = -7 + -3 Combine like terms: -7 + -3 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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