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Simplifying 4x + 3(x + -1) = 8x + 2 Reorder the terms: 4x + 3(-1 + x) = 8x + 2 4x + (-1 * 3 + x * 3) = 8x + 2 4x + (-3 + 3x) = 8x + 2 Reorder the terms: -3 + 4x + 3x = 8x + 2 Combine like terms: 4x + 3x = 7x -3 + 7x = 8x + 2 Reorder the terms: -3 + 7x = 2 + 8x Solving -3 + 7x = 2 + 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. -3 + 7x + -8x = 2 + 8x + -8x Combine like terms: 7x + -8x = -1x -3 + -1x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -1x = 2 + 0 -3 + -1x = 2 Add '3' to each side of the equation. -3 + 3 + -1x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 2 + 3 -1x = 2 + 3 Combine like terms: 2 + 3 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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