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Simplifying 4(x + -4) = 5(5 + x) + (x + 2) Reorder the terms: 4(-4 + x) = 5(5 + x) + (x + 2) (-4 * 4 + x * 4) = 5(5 + x) + (x + 2) (-16 + 4x) = 5(5 + x) + (x + 2) -16 + 4x = (5 * 5 + x * 5) + (x + 2) -16 + 4x = (25 + 5x) + (x + 2) Reorder the terms: -16 + 4x = 25 + 5x + (2 + x) Remove parenthesis around (2 + x) -16 + 4x = 25 + 5x + 2 + x Reorder the terms: -16 + 4x = 25 + 2 + 5x + x Combine like terms: 25 + 2 = 27 -16 + 4x = 27 + 5x + x Combine like terms: 5x + x = 6x -16 + 4x = 27 + 6x Solving -16 + 4x = 27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + 4x + -6x = 27 + 6x + -6x Combine like terms: 4x + -6x = -2x -16 + -2x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + -2x = 27 + 0 -16 + -2x = 27 Add '16' to each side of the equation. -16 + 16 + -2x = 27 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = 27 + 16 -2x = 27 + 16 Combine like terms: 27 + 16 = 43 -2x = 43 Divide each side by '-2'. x = -21.5 Simplifying x = -21.5
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