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Simplifying 5x + 5 + -12 = 3x + 36 + -6 Reorder the terms: 5 + -12 + 5x = 3x + 36 + -6 Combine like terms: 5 + -12 = -7 -7 + 5x = 3x + 36 + -6 Reorder the terms: -7 + 5x = 36 + -6 + 3x Combine like terms: 36 + -6 = 30 -7 + 5x = 30 + 3x Solving -7 + 5x = 30 + 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 = 30 + 3x + -3x Combine like terms: 5x + -3x = 2x -7 + 2x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 2x = 30 + 0 -7 + 2x = 30 Add '7' to each side of the equation. -7 + 7 + 2x = 30 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 30 + 7 2x = 30 + 7 Combine like terms: 30 + 7 = 37 2x = 37 Divide each side by '2'. x = 18.5 Simplifying x = 18.5
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