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Simplifying 2x + 27 = 4(x + 4) + -5 Reorder the terms: 27 + 2x = 4(x + 4) + -5 Reorder the terms: 27 + 2x = 4(4 + x) + -5 27 + 2x = (4 * 4 + x * 4) + -5 27 + 2x = (16 + 4x) + -5 Reorder the terms: 27 + 2x = 16 + -5 + 4x Combine like terms: 16 + -5 = 11 27 + 2x = 11 + 4x Solving 27 + 2x = 11 + 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. 27 + 2x + -4x = 11 + 4x + -4x Combine like terms: 2x + -4x = -2x 27 + -2x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + -2x = 11 + 0 27 + -2x = 11 Add '-27' to each side of the equation. 27 + -27 + -2x = 11 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 11 + -27 -2x = 11 + -27 Combine like terms: 11 + -27 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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