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Simplifying 3(x + -4) = 7x + 8 + x Reorder the terms: 3(-4 + x) = 7x + 8 + x (-4 * 3 + x * 3) = 7x + 8 + x (-12 + 3x) = 7x + 8 + x Reorder the terms: -12 + 3x = 8 + 7x + x Combine like terms: 7x + x = 8x -12 + 3x = 8 + 8x Solving -12 + 3x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 3x + -8x = 8 + 8x + -8x Combine like terms: 3x + -8x = -5x -12 + -5x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -5x = 8 + 0 -12 + -5x = 8 Add '12' to each side of the equation. -12 + 12 + -5x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 8 + 12 -5x = 8 + 12 Combine like terms: 8 + 12 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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