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Simplifying 2(4x + 5) + -5 = 5(x + -4) + 4 Reorder the terms: 2(5 + 4x) + -5 = 5(x + -4) + 4 (5 * 2 + 4x * 2) + -5 = 5(x + -4) + 4 (10 + 8x) + -5 = 5(x + -4) + 4 Reorder the terms: 10 + -5 + 8x = 5(x + -4) + 4 Combine like terms: 10 + -5 = 5 5 + 8x = 5(x + -4) + 4 Reorder the terms: 5 + 8x = 5(-4 + x) + 4 5 + 8x = (-4 * 5 + x * 5) + 4 5 + 8x = (-20 + 5x) + 4 Reorder the terms: 5 + 8x = -20 + 4 + 5x Combine like terms: -20 + 4 = -16 5 + 8x = -16 + 5x Solving 5 + 8x = -16 + 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. 5 + 8x + -5x = -16 + 5x + -5x Combine like terms: 8x + -5x = 3x 5 + 3x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 3x = -16 + 0 5 + 3x = -16 Add '-5' to each side of the equation. 5 + -5 + 3x = -16 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -16 + -5 3x = -16 + -5 Combine like terms: -16 + -5 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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