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Simplifying 4(x + 5) = 7x + 162 + -5x Reorder the terms: 4(5 + x) = 7x + 162 + -5x (5 * 4 + x * 4) = 7x + 162 + -5x (20 + 4x) = 7x + 162 + -5x Reorder the terms: 20 + 4x = 162 + 7x + -5x Combine like terms: 7x + -5x = 2x 20 + 4x = 162 + 2x Solving 20 + 4x = 162 + 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. 20 + 4x + -2x = 162 + 2x + -2x Combine like terms: 4x + -2x = 2x 20 + 2x = 162 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 2x = 162 + 0 20 + 2x = 162 Add '-20' to each side of the equation. 20 + -20 + 2x = 162 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 162 + -20 2x = 162 + -20 Combine like terms: 162 + -20 = 142 2x = 142 Divide each side by '2'. x = 71 Simplifying x = 71
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