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Simplifying x + -3 + -1(3x + 7) = 4x + 1 Reorder the terms: x + -3 + -1(7 + 3x) = 4x + 1 x + -3 + (7 * -1 + 3x * -1) = 4x + 1 x + -3 + (-7 + -3x) = 4x + 1 Reorder the terms: -3 + -7 + x + -3x = 4x + 1 Combine like terms: -3 + -7 = -10 -10 + x + -3x = 4x + 1 Combine like terms: x + -3x = -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 = -6x -10 + -6x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -6x = 1 + 0 -10 + -6x = 1 Add '10' to each side of the equation. -10 + 10 + -6x = 1 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 1 + 10 -6x = 1 + 10 Combine like terms: 1 + 10 = 11 -6x = 11 Divide each side by '-6'. x = -1.833333333 Simplifying x = -1.833333333
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