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Simplifying 5x + 4 + -3x + 7 = 12 + 7x Reorder the terms: 4 + 7 + 5x + -3x = 12 + 7x Combine like terms: 4 + 7 = 11 11 + 5x + -3x = 12 + 7x Combine like terms: 5x + -3x = 2x 11 + 2x = 12 + 7x Solving 11 + 2x = 12 + 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. 11 + 2x + -7x = 12 + 7x + -7x Combine like terms: 2x + -7x = -5x 11 + -5x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + -5x = 12 + 0 11 + -5x = 12 Add '-11' to each side of the equation. 11 + -11 + -5x = 12 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 12 + -11 -5x = 12 + -11 Combine like terms: 12 + -11 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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