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Simplifying 5x + -7 = -3x + 12 Reorder the terms: -7 + 5x = -3x + 12 Reorder the terms: -7 + 5x = 12 + -3x Solving -7 + 5x = 12 + -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 + 5x + 3x = 12 + -3x + 3x Combine like terms: 5x + 3x = 8x -7 + 8x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 8x = 12 + 0 -7 + 8x = 12 Add '7' to each side of the equation. -7 + 7 + 8x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 12 + 7 8x = 12 + 7 Combine like terms: 12 + 7 = 19 8x = 19 Divide each side by '8'. x = 2.375 Simplifying x = 2.375
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