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Simplifying 4 + -1(x + 5) = 3(x + 11) Reorder the terms: 4 + -1(5 + x) = 3(x + 11) 4 + (5 * -1 + x * -1) = 3(x + 11) 4 + (-5 + -1x) = 3(x + 11) Combine like terms: 4 + -5 = -1 -1 + -1x = 3(x + 11) Reorder the terms: -1 + -1x = 3(11 + x) -1 + -1x = (11 * 3 + x * 3) -1 + -1x = (33 + 3x) Solving -1 + -1x = 33 + 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. -1 + -1x + -3x = 33 + 3x + -3x Combine like terms: -1x + -3x = -4x -1 + -4x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -4x = 33 + 0 -1 + -4x = 33 Add '1' to each side of the equation. -1 + 1 + -4x = 33 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 33 + 1 -4x = 33 + 1 Combine like terms: 33 + 1 = 34 -4x = 34 Divide each side by '-4'. x = -8.5 Simplifying x = -8.5
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