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Simplifying 4(x + 4) * 5 = 2x + -4 Reorder the terms: 4(4 + x) * 5 = 2x + -4 Reorder the terms for easier multiplication: 4 * 5(4 + x) = 2x + -4 Multiply 4 * 5 20(4 + x) = 2x + -4 (4 * 20 + x * 20) = 2x + -4 (80 + 20x) = 2x + -4 Reorder the terms: 80 + 20x = -4 + 2x Solving 80 + 20x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 80 + 20x + -2x = -4 + 2x + -2x Combine like terms: 20x + -2x = 18x 80 + 18x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 80 + 18x = -4 + 0 80 + 18x = -4 Add '-80' to each side of the equation. 80 + -80 + 18x = -4 + -80 Combine like terms: 80 + -80 = 0 0 + 18x = -4 + -80 18x = -4 + -80 Combine like terms: -4 + -80 = -84 18x = -84 Divide each side by '18'. x = -4.666666667 Simplifying x = -4.666666667
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