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Simplifying 11 + 5(-7x + -1) = 8(-2x + -4) Reorder the terms: 11 + 5(-1 + -7x) = 8(-2x + -4) 11 + (-1 * 5 + -7x * 5) = 8(-2x + -4) 11 + (-5 + -35x) = 8(-2x + -4) Combine like terms: 11 + -5 = 6 6 + -35x = 8(-2x + -4) Reorder the terms: 6 + -35x = 8(-4 + -2x) 6 + -35x = (-4 * 8 + -2x * 8) 6 + -35x = (-32 + -16x) Solving 6 + -35x = -32 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 6 + -35x + 16x = -32 + -16x + 16x Combine like terms: -35x + 16x = -19x 6 + -19x = -32 + -16x + 16x Combine like terms: -16x + 16x = 0 6 + -19x = -32 + 0 6 + -19x = -32 Add '-6' to each side of the equation. 6 + -6 + -19x = -32 + -6 Combine like terms: 6 + -6 = 0 0 + -19x = -32 + -6 -19x = -32 + -6 Combine like terms: -32 + -6 = -38 -19x = -38 Divide each side by '-19'. x = 2 Simplifying x = 2
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