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Simplifying 4x + 15 = 5(x + 4) Reorder the terms: 15 + 4x = 5(x + 4) Reorder the terms: 15 + 4x = 5(4 + x) 15 + 4x = (4 * 5 + x * 5) 15 + 4x = (20 + 5x) Solving 15 + 4x = 20 + 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. 15 + 4x + -5x = 20 + 5x + -5x Combine like terms: 4x + -5x = -1x 15 + -1x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -1x = 20 + 0 15 + -1x = 20 Add '-15' to each side of the equation. 15 + -15 + -1x = 20 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 20 + -15 -1x = 20 + -15 Combine like terms: 20 + -15 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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