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Simplifying 3x + 4(x + -8) = 2x + 3 Reorder the terms: 3x + 4(-8 + x) = 2x + 3 3x + (-8 * 4 + x * 4) = 2x + 3 3x + (-32 + 4x) = 2x + 3 Reorder the terms: -32 + 3x + 4x = 2x + 3 Combine like terms: 3x + 4x = 7x -32 + 7x = 2x + 3 Reorder the terms: -32 + 7x = 3 + 2x Solving -32 + 7x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -32 + 7x + -2x = 3 + 2x + -2x Combine like terms: 7x + -2x = 5x -32 + 5x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 5x = 3 + 0 -32 + 5x = 3 Add '32' to each side of the equation. -32 + 32 + 5x = 3 + 32 Combine like terms: -32 + 32 = 0 0 + 5x = 3 + 32 5x = 3 + 32 Combine like terms: 3 + 32 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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