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Simplifying 3(x + -8) + 2x = 7x + 5 Reorder the terms: 3(-8 + x) + 2x = 7x + 5 (-8 * 3 + x * 3) + 2x = 7x + 5 (-24 + 3x) + 2x = 7x + 5 Combine like terms: 3x + 2x = 5x -24 + 5x = 7x + 5 Reorder the terms: -24 + 5x = 5 + 7x Solving -24 + 5x = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -24 + 5x + -7x = 5 + 7x + -7x Combine like terms: 5x + -7x = -2x -24 + -2x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -2x = 5 + 0 -24 + -2x = 5 Add '24' to each side of the equation. -24 + 24 + -2x = 5 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 5 + 24 -2x = 5 + 24 Combine like terms: 5 + 24 = 29 -2x = 29 Divide each side by '-2'. x = -14.5 Simplifying x = -14.5
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