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Simplifying 4(x + 4) + 4(2x + 5) = -1x + -5x Reorder the terms: 4(4 + x) + 4(2x + 5) = -1x + -5x (4 * 4 + x * 4) + 4(2x + 5) = -1x + -5x (16 + 4x) + 4(2x + 5) = -1x + -5x Reorder the terms: 16 + 4x + 4(5 + 2x) = -1x + -5x 16 + 4x + (5 * 4 + 2x * 4) = -1x + -5x 16 + 4x + (20 + 8x) = -1x + -5x Reorder the terms: 16 + 20 + 4x + 8x = -1x + -5x Combine like terms: 16 + 20 = 36 36 + 4x + 8x = -1x + -5x Combine like terms: 4x + 8x = 12x 36 + 12x = -1x + -5x Combine like terms: -1x + -5x = -6x 36 + 12x = -6x Solving 36 + 12x = -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. 36 + 12x + 6x = -6x + 6x Combine like terms: 12x + 6x = 18x 36 + 18x = -6x + 6x Combine like terms: -6x + 6x = 0 36 + 18x = 0 Add '-36' to each side of the equation. 36 + -36 + 18x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 18x = 0 + -36 18x = 0 + -36 Combine like terms: 0 + -36 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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