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Simplifying 4(4x + 5) = 18 + 18 + -2x + 2 Reorder the terms: 4(5 + 4x) = 18 + 18 + -2x + 2 (5 * 4 + 4x * 4) = 18 + 18 + -2x + 2 (20 + 16x) = 18 + 18 + -2x + 2 Reorder the terms: 20 + 16x = 18 + 18 + 2 + -2x Combine like terms: 18 + 18 = 36 20 + 16x = 36 + 2 + -2x Combine like terms: 36 + 2 = 38 20 + 16x = 38 + -2x Solving 20 + 16x = 38 + -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 + 16x + 2x = 38 + -2x + 2x Combine like terms: 16x + 2x = 18x 20 + 18x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 20 + 18x = 38 + 0 20 + 18x = 38 Add '-20' to each side of the equation. 20 + -20 + 18x = 38 + -20 Combine like terms: 20 + -20 = 0 0 + 18x = 38 + -20 18x = 38 + -20 Combine like terms: 38 + -20 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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