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Simplifying 11 + -1(3x + 1) = 7(x + -6) + 2 Reorder the terms: 11 + -1(1 + 3x) = 7(x + -6) + 2 11 + (1 * -1 + 3x * -1) = 7(x + -6) + 2 11 + (-1 + -3x) = 7(x + -6) + 2 Combine like terms: 11 + -1 = 10 10 + -3x = 7(x + -6) + 2 Reorder the terms: 10 + -3x = 7(-6 + x) + 2 10 + -3x = (-6 * 7 + x * 7) + 2 10 + -3x = (-42 + 7x) + 2 Reorder the terms: 10 + -3x = -42 + 2 + 7x Combine like terms: -42 + 2 = -40 10 + -3x = -40 + 7x Solving 10 + -3x = -40 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + -3x + -7x = -40 + 7x + -7x Combine like terms: -3x + -7x = -10x 10 + -10x = -40 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -10x = -40 + 0 10 + -10x = -40 Add '-10' to each side of the equation. 10 + -10 + -10x = -40 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = -40 + -10 -10x = -40 + -10 Combine like terms: -40 + -10 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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