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Simplifying 4 + -1(x + 5) = 32 + x Reorder the terms: 4 + -1(5 + x) = 32 + x 4 + (5 * -1 + x * -1) = 32 + x 4 + (-5 + -1x) = 32 + x Combine like terms: 4 + -5 = -1 -1 + -1x = 32 + x Solving -1 + -1x = 32 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + -1x + -1x = 32 + x + -1x Combine like terms: -1x + -1x = -2x -1 + -2x = 32 + x + -1x Combine like terms: x + -1x = 0 -1 + -2x = 32 + 0 -1 + -2x = 32 Add '1' to each side of the equation. -1 + 1 + -2x = 32 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 32 + 1 -2x = 32 + 1 Combine like terms: 32 + 1 = 33 -2x = 33 Divide each side by '-2'. x = -16.5 Simplifying x = -16.5
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