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Simplifying 4x + -7(3 + x) = x + 2(x + -1) 4x + (3 * -7 + x * -7) = x + 2(x + -1) 4x + (-21 + -7x) = x + 2(x + -1) Reorder the terms: -21 + 4x + -7x = x + 2(x + -1) Combine like terms: 4x + -7x = -3x -21 + -3x = x + 2(x + -1) Reorder the terms: -21 + -3x = x + 2(-1 + x) -21 + -3x = x + (-1 * 2 + x * 2) -21 + -3x = x + (-2 + 2x) Reorder the terms: -21 + -3x = -2 + x + 2x Combine like terms: x + 2x = 3x -21 + -3x = -2 + 3x Solving -21 + -3x = -2 + 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. -21 + -3x + -3x = -2 + 3x + -3x Combine like terms: -3x + -3x = -6x -21 + -6x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + -6x = -2 + 0 -21 + -6x = -2 Add '21' to each side of the equation. -21 + 21 + -6x = -2 + 21 Combine like terms: -21 + 21 = 0 0 + -6x = -2 + 21 -6x = -2 + 21 Combine like terms: -2 + 21 = 19 -6x = 19 Divide each side by '-6'. x = -3.166666667 Simplifying x = -3.166666667
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