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Simplifying 0 = x + 2(x + -1) + -3(2x + 7) Reorder the terms: 0 = x + 2(-1 + x) + -3(2x + 7) 0 = x + (-1 * 2 + x * 2) + -3(2x + 7) 0 = x + (-2 + 2x) + -3(2x + 7) Reorder the terms: 0 = x + -2 + 2x + -3(7 + 2x) 0 = x + -2 + 2x + (7 * -3 + 2x * -3) 0 = x + -2 + 2x + (-21 + -6x) Reorder the terms: 0 = -2 + -21 + x + 2x + -6x Combine like terms: -2 + -21 = -23 0 = -23 + x + 2x + -6x Combine like terms: x + 2x = 3x 0 = -23 + 3x + -6x Combine like terms: 3x + -6x = -3x 0 = -23 + -3x Solving 0 = -23 + -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. 0 + 3x = -23 + -3x + 3x Remove the zero: 3x = -23 + -3x + 3x Combine like terms: -3x + 3x = 0 3x = -23 + 0 3x = -23 Divide each side by '3'. x = -7.666666667 Simplifying x = -7.666666667
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