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Simplifying 7x + -5 = -9 + 3(x + 8) Reorder the terms: -5 + 7x = -9 + 3(x + 8) Reorder the terms: -5 + 7x = -9 + 3(8 + x) -5 + 7x = -9 + (8 * 3 + x * 3) -5 + 7x = -9 + (24 + 3x) Combine like terms: -9 + 24 = 15 -5 + 7x = 15 + 3x Solving -5 + 7x = 15 + 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. -5 + 7x + -3x = 15 + 3x + -3x Combine like terms: 7x + -3x = 4x -5 + 4x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 4x = 15 + 0 -5 + 4x = 15 Add '5' to each side of the equation. -5 + 5 + 4x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 15 + 5 4x = 15 + 5 Combine like terms: 15 + 5 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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