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Simplifying 4x + -1(2x + 3) = 3x + -49 Reorder the terms: 4x + -1(3 + 2x) = 3x + -49 4x + (3 * -1 + 2x * -1) = 3x + -49 4x + (-3 + -2x) = 3x + -49 Reorder the terms: -3 + 4x + -2x = 3x + -49 Combine like terms: 4x + -2x = 2x -3 + 2x = 3x + -49 Reorder the terms: -3 + 2x = -49 + 3x Solving -3 + 2x = -49 + 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. -3 + 2x + -3x = -49 + 3x + -3x Combine like terms: 2x + -3x = -1x -3 + -1x = -49 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -1x = -49 + 0 -3 + -1x = -49 Add '3' to each side of the equation. -3 + 3 + -1x = -49 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -49 + 3 -1x = -49 + 3 Combine like terms: -49 + 3 = -46 -1x = -46 Divide each side by '-1'. x = 46 Simplifying x = 46
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