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Simplifying 4x + -1(2x + 8) = 3x + -41 Reorder the terms: 4x + -1(8 + 2x) = 3x + -41 4x + (8 * -1 + 2x * -1) = 3x + -41 4x + (-8 + -2x) = 3x + -41 Reorder the terms: -8 + 4x + -2x = 3x + -41 Combine like terms: 4x + -2x = 2x -8 + 2x = 3x + -41 Reorder the terms: -8 + 2x = -41 + 3x Solving -8 + 2x = -41 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + 2x + -3x = -41 + 3x + -3x Combine like terms: 2x + -3x = -1x -8 + -1x = -41 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -1x = -41 + 0 -8 + -1x = -41 Add '8' to each side of the equation. -8 + 8 + -1x = -41 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -41 + 8 -1x = -41 + 8 Combine like terms: -41 + 8 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33
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