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Simplifying 4x + 16 = 5x + -21 Reorder the terms: 16 + 4x = 5x + -21 Reorder the terms: 16 + 4x = -21 + 5x Solving 16 + 4x = -21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + 4x + -5x = -21 + 5x + -5x Combine like terms: 4x + -5x = -1x 16 + -1x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + -1x = -21 + 0 16 + -1x = -21 Add '-16' to each side of the equation. 16 + -16 + -1x = -21 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = -21 + -16 -1x = -21 + -16 Combine like terms: -21 + -16 = -37 -1x = -37 Divide each side by '-1'. x = 37 Simplifying x = 37
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