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Simplifying 4(x + 4) = 5x + 12 Reorder the terms: 4(4 + x) = 5x + 12 (4 * 4 + x * 4) = 5x + 12 (16 + 4x) = 5x + 12 Reorder the terms: 16 + 4x = 12 + 5x Solving 16 + 4x = 12 + 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 = 12 + 5x + -5x Combine like terms: 4x + -5x = -1x 16 + -1x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + -1x = 12 + 0 16 + -1x = 12 Add '-16' to each side of the equation. 16 + -16 + -1x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 12 + -16 -1x = 12 + -16 Combine like terms: 12 + -16 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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