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Simplifying 3x + 4(x + -1) = 8x + 12 Reorder the terms: 3x + 4(-1 + x) = 8x + 12 3x + (-1 * 4 + x * 4) = 8x + 12 3x + (-4 + 4x) = 8x + 12 Reorder the terms: -4 + 3x + 4x = 8x + 12 Combine like terms: 3x + 4x = 7x -4 + 7x = 8x + 12 Reorder the terms: -4 + 7x = 12 + 8x Solving -4 + 7x = 12 + 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. -4 + 7x + -8x = 12 + 8x + -8x Combine like terms: 7x + -8x = -1x -4 + -1x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -1x = 12 + 0 -4 + -1x = 12 Add '4' to each side of the equation. -4 + 4 + -1x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 12 + 4 -1x = 12 + 4 Combine like terms: 12 + 4 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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