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Simplifying 11x + 40 + -1(7x + 4) = -2(x + -6) Reorder the terms: 11x + 40 + -1(4 + 7x) = -2(x + -6) 11x + 40 + (4 * -1 + 7x * -1) = -2(x + -6) 11x + 40 + (-4 + -7x) = -2(x + -6) Reorder the terms: 40 + -4 + 11x + -7x = -2(x + -6) Combine like terms: 40 + -4 = 36 36 + 11x + -7x = -2(x + -6) Combine like terms: 11x + -7x = 4x 36 + 4x = -2(x + -6) Reorder the terms: 36 + 4x = -2(-6 + x) 36 + 4x = (-6 * -2 + x * -2) 36 + 4x = (12 + -2x) Solving 36 + 4x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 36 + 4x + 2x = 12 + -2x + 2x Combine like terms: 4x + 2x = 6x 36 + 6x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 36 + 6x = 12 + 0 36 + 6x = 12 Add '-36' to each side of the equation. 36 + -36 + 6x = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = 12 + -36 6x = 12 + -36 Combine like terms: 12 + -36 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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