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Simplifying 3x + -8 = 7 + 5(x + 12) Reorder the terms: -8 + 3x = 7 + 5(x + 12) Reorder the terms: -8 + 3x = 7 + 5(12 + x) -8 + 3x = 7 + (12 * 5 + x * 5) -8 + 3x = 7 + (60 + 5x) Combine like terms: 7 + 60 = 67 -8 + 3x = 67 + 5x Solving -8 + 3x = 67 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 3x + -5x = 67 + 5x + -5x Combine like terms: 3x + -5x = -2x -8 + -2x = 67 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -2x = 67 + 0 -8 + -2x = 67 Add '8' to each side of the equation. -8 + 8 + -2x = 67 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 67 + 8 -2x = 67 + 8 Combine like terms: 67 + 8 = 75 -2x = 75 Divide each side by '-2'. x = -37.5 Simplifying x = -37.5
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