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Simplifying -2(7 + -3x) + 5(9 + -1x) = -4(2 + 6x) + -11 (7 * -2 + -3x * -2) + 5(9 + -1x) = -4(2 + 6x) + -11 (-14 + 6x) + 5(9 + -1x) = -4(2 + 6x) + -11 -14 + 6x + (9 * 5 + -1x * 5) = -4(2 + 6x) + -11 -14 + 6x + (45 + -5x) = -4(2 + 6x) + -11 Reorder the terms: -14 + 45 + 6x + -5x = -4(2 + 6x) + -11 Combine like terms: -14 + 45 = 31 31 + 6x + -5x = -4(2 + 6x) + -11 Combine like terms: 6x + -5x = 1x 31 + 1x = -4(2 + 6x) + -11 31 + 1x = (2 * -4 + 6x * -4) + -11 31 + 1x = (-8 + -24x) + -11 Reorder the terms: 31 + 1x = -8 + -11 + -24x Combine like terms: -8 + -11 = -19 31 + 1x = -19 + -24x Solving 31 + 1x = -19 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 31 + 1x + 24x = -19 + -24x + 24x Combine like terms: 1x + 24x = 25x 31 + 25x = -19 + -24x + 24x Combine like terms: -24x + 24x = 0 31 + 25x = -19 + 0 31 + 25x = -19 Add '-31' to each side of the equation. 31 + -31 + 25x = -19 + -31 Combine like terms: 31 + -31 = 0 0 + 25x = -19 + -31 25x = -19 + -31 Combine like terms: -19 + -31 = -50 25x = -50 Divide each side by '25'. x = -2 Simplifying x = -2
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