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Simplifying 7x = 10(11 + -4x) + -11(-5x + -6) 7x = (11 * 10 + -4x * 10) + -11(-5x + -6) 7x = (110 + -40x) + -11(-5x + -6) Reorder the terms: 7x = 110 + -40x + -11(-6 + -5x) 7x = 110 + -40x + (-6 * -11 + -5x * -11) 7x = 110 + -40x + (66 + 55x) Reorder the terms: 7x = 110 + 66 + -40x + 55x Combine like terms: 110 + 66 = 176 7x = 176 + -40x + 55x Combine like terms: -40x + 55x = 15x 7x = 176 + 15x Solving 7x = 176 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 7x + -15x = 176 + 15x + -15x Combine like terms: 7x + -15x = -8x -8x = 176 + 15x + -15x Combine like terms: 15x + -15x = 0 -8x = 176 + 0 -8x = 176 Divide each side by '-8'. x = -22 Simplifying x = -22
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