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Simplifying 20 + 7x = 4(4x + 1) + -2 Reorder the terms: 20 + 7x = 4(1 + 4x) + -2 20 + 7x = (1 * 4 + 4x * 4) + -2 20 + 7x = (4 + 16x) + -2 Reorder the terms: 20 + 7x = 4 + -2 + 16x Combine like terms: 4 + -2 = 2 20 + 7x = 2 + 16x Solving 20 + 7x = 2 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 20 + 7x + -16x = 2 + 16x + -16x Combine like terms: 7x + -16x = -9x 20 + -9x = 2 + 16x + -16x Combine like terms: 16x + -16x = 0 20 + -9x = 2 + 0 20 + -9x = 2 Add '-20' to each side of the equation. 20 + -20 + -9x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -9x = 2 + -20 -9x = 2 + -20 Combine like terms: 2 + -20 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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