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Simplifying 4(x + -1) + 2 = 3x + 8 + -2x Reorder the terms: 4(-1 + x) + 2 = 3x + 8 + -2x (-1 * 4 + x * 4) + 2 = 3x + 8 + -2x (-4 + 4x) + 2 = 3x + 8 + -2x Reorder the terms: -4 + 2 + 4x = 3x + 8 + -2x Combine like terms: -4 + 2 = -2 -2 + 4x = 3x + 8 + -2x Reorder the terms: -2 + 4x = 8 + 3x + -2x Combine like terms: 3x + -2x = 1x -2 + 4x = 8 + 1x Solving -2 + 4x = 8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 4x + -1x = 8 + 1x + -1x Combine like terms: 4x + -1x = 3x -2 + 3x = 8 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + 3x = 8 + 0 -2 + 3x = 8 Add '2' to each side of the equation. -2 + 2 + 3x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 8 + 2 3x = 8 + 2 Combine like terms: 8 + 2 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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