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Simplifying 3x + -1(x + 8) + -2 = 4x + 1 Reorder the terms: 3x + -1(8 + x) + -2 = 4x + 1 3x + (8 * -1 + x * -1) + -2 = 4x + 1 3x + (-8 + -1x) + -2 = 4x + 1 Reorder the terms: -8 + -2 + 3x + -1x = 4x + 1 Combine like terms: -8 + -2 = -10 -10 + 3x + -1x = 4x + 1 Combine like terms: 3x + -1x = 2x -10 + 2x = 4x + 1 Reorder the terms: -10 + 2x = 1 + 4x Solving -10 + 2x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 2x + -4x = 1 + 4x + -4x Combine like terms: 2x + -4x = -2x -10 + -2x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -2x = 1 + 0 -10 + -2x = 1 Add '10' to each side of the equation. -10 + 10 + -2x = 1 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 1 + 10 -2x = 1 + 10 Combine like terms: 1 + 10 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5
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