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Simplifying 7 + -2(x + -8) = x + -4(3x + -2) Reorder the terms: 7 + -2(-8 + x) = x + -4(3x + -2) 7 + (-8 * -2 + x * -2) = x + -4(3x + -2) 7 + (16 + -2x) = x + -4(3x + -2) Combine like terms: 7 + 16 = 23 23 + -2x = x + -4(3x + -2) Reorder the terms: 23 + -2x = x + -4(-2 + 3x) 23 + -2x = x + (-2 * -4 + 3x * -4) 23 + -2x = x + (8 + -12x) Reorder the terms: 23 + -2x = 8 + x + -12x Combine like terms: x + -12x = -11x 23 + -2x = 8 + -11x Solving 23 + -2x = 8 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 23 + -2x + 11x = 8 + -11x + 11x Combine like terms: -2x + 11x = 9x 23 + 9x = 8 + -11x + 11x Combine like terms: -11x + 11x = 0 23 + 9x = 8 + 0 23 + 9x = 8 Add '-23' to each side of the equation. 23 + -23 + 9x = 8 + -23 Combine like terms: 23 + -23 = 0 0 + 9x = 8 + -23 9x = 8 + -23 Combine like terms: 8 + -23 = -15 9x = -15 Divide each side by '9'. x = -1.666666667 Simplifying x = -1.666666667
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