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Simplifying 5x + 4 + -3x = 12 + 7x + 7 Reorder the terms: 4 + 5x + -3x = 12 + 7x + 7 Combine like terms: 5x + -3x = 2x 4 + 2x = 12 + 7x + 7 Reorder the terms: 4 + 2x = 12 + 7 + 7x Combine like terms: 12 + 7 = 19 4 + 2x = 19 + 7x Solving 4 + 2x = 19 + 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. 4 + 2x + -7x = 19 + 7x + -7x Combine like terms: 2x + -7x = -5x 4 + -5x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -5x = 19 + 0 4 + -5x = 19 Add '-4' to each side of the equation. 4 + -4 + -5x = 19 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 19 + -4 -5x = 19 + -4 Combine like terms: 19 + -4 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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