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Simplifying 11 + -7(x + 1) = 7 + -3(x + 5) Reorder the terms: 11 + -7(1 + x) = 7 + -3(x + 5) 11 + (1 * -7 + x * -7) = 7 + -3(x + 5) 11 + (-7 + -7x) = 7 + -3(x + 5) Combine like terms: 11 + -7 = 4 4 + -7x = 7 + -3(x + 5) Reorder the terms: 4 + -7x = 7 + -3(5 + x) 4 + -7x = 7 + (5 * -3 + x * -3) 4 + -7x = 7 + (-15 + -3x) Combine like terms: 7 + -15 = -8 4 + -7x = -8 + -3x Solving 4 + -7x = -8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + -7x + 3x = -8 + -3x + 3x Combine like terms: -7x + 3x = -4x 4 + -4x = -8 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + -4x = -8 + 0 4 + -4x = -8 Add '-4' to each side of the equation. 4 + -4 + -4x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -8 + -4 -4x = -8 + -4 Combine like terms: -8 + -4 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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