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Simplifying 4(x + 4) + -1 = 5x + 11 Reorder the terms: 4(4 + x) + -1 = 5x + 11 (4 * 4 + x * 4) + -1 = 5x + 11 (16 + 4x) + -1 = 5x + 11 Reorder the terms: 16 + -1 + 4x = 5x + 11 Combine like terms: 16 + -1 = 15 15 + 4x = 5x + 11 Reorder the terms: 15 + 4x = 11 + 5x Solving 15 + 4x = 11 + 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 = 11 + 5x + -5x Combine like terms: 4x + -5x = -1x 15 + -1x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -1x = 11 + 0 15 + -1x = 11 Add '-15' to each side of the equation. 15 + -15 + -1x = 11 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 11 + -15 -1x = 11 + -15 Combine like terms: 11 + -15 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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