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Simplifying 3x + -1 = 5(x + -1) + -14 + -4x Reorder the terms: -1 + 3x = 5(x + -1) + -14 + -4x Reorder the terms: -1 + 3x = 5(-1 + x) + -14 + -4x -1 + 3x = (-1 * 5 + x * 5) + -14 + -4x -1 + 3x = (-5 + 5x) + -14 + -4x Reorder the terms: -1 + 3x = -5 + -14 + 5x + -4x Combine like terms: -5 + -14 = -19 -1 + 3x = -19 + 5x + -4x Combine like terms: 5x + -4x = 1x -1 + 3x = -19 + 1x Solving -1 + 3x = -19 + 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. -1 + 3x + -1x = -19 + 1x + -1x Combine like terms: 3x + -1x = 2x -1 + 2x = -19 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + 2x = -19 + 0 -1 + 2x = -19 Add '1' to each side of the equation. -1 + 1 + 2x = -19 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = -19 + 1 2x = -19 + 1 Combine like terms: -19 + 1 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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