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Simplifying 16 + -1(x + 32) = 74 + 4x Reorder the terms: 16 + -1(32 + x) = 74 + 4x 16 + (32 * -1 + x * -1) = 74 + 4x 16 + (-32 + -1x) = 74 + 4x Combine like terms: 16 + -32 = -16 -16 + -1x = 74 + 4x Solving -16 + -1x = 74 + 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. -16 + -1x + -4x = 74 + 4x + -4x Combine like terms: -1x + -4x = -5x -16 + -5x = 74 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + -5x = 74 + 0 -16 + -5x = 74 Add '16' to each side of the equation. -16 + 16 + -5x = 74 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = 74 + 16 -5x = 74 + 16 Combine like terms: 74 + 16 = 90 -5x = 90 Divide each side by '-5'. x = -18 Simplifying x = -18
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