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Simplifying 5x + 12 = -3x + 7 Reorder the terms: 12 + 5x = -3x + 7 Reorder the terms: 12 + 5x = 7 + -3x Solving 12 + 5x = 7 + -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. 12 + 5x + 3x = 7 + -3x + 3x Combine like terms: 5x + 3x = 8x 12 + 8x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 8x = 7 + 0 12 + 8x = 7 Add '-12' to each side of the equation. 12 + -12 + 8x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 7 + -12 8x = 7 + -12 Combine like terms: 7 + -12 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625
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