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Simplifying 7 + -1(x + 5) = 4(x + 11) Reorder the terms: 7 + -1(5 + x) = 4(x + 11) 7 + (5 * -1 + x * -1) = 4(x + 11) 7 + (-5 + -1x) = 4(x + 11) Combine like terms: 7 + -5 = 2 2 + -1x = 4(x + 11) Reorder the terms: 2 + -1x = 4(11 + x) 2 + -1x = (11 * 4 + x * 4) 2 + -1x = (44 + 4x) Solving 2 + -1x = 44 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + -1x + -4x = 44 + 4x + -4x Combine like terms: -1x + -4x = -5x 2 + -5x = 44 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -5x = 44 + 0 2 + -5x = 44 Add '-2' to each side of the equation. 2 + -2 + -5x = 44 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 44 + -2 -5x = 44 + -2 Combine like terms: 44 + -2 = 42 -5x = 42 Divide each side by '-5'. x = -8.4 Simplifying x = -8.4
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