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Simplifying 20x + 2 = 5(4x + 1) + -1x + 5 Reorder the terms: 2 + 20x = 5(4x + 1) + -1x + 5 Reorder the terms: 2 + 20x = 5(1 + 4x) + -1x + 5 2 + 20x = (1 * 5 + 4x * 5) + -1x + 5 2 + 20x = (5 + 20x) + -1x + 5 Reorder the terms: 2 + 20x = 5 + 5 + 20x + -1x Combine like terms: 5 + 5 = 10 2 + 20x = 10 + 20x + -1x Combine like terms: 20x + -1x = 19x 2 + 20x = 10 + 19x Solving 2 + 20x = 10 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 2 + 20x + -19x = 10 + 19x + -19x Combine like terms: 20x + -19x = 1x 2 + 1x = 10 + 19x + -19x Combine like terms: 19x + -19x = 0 2 + 1x = 10 + 0 2 + 1x = 10 Add '-2' to each side of the equation. 2 + -2 + 1x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 10 + -2 1x = 10 + -2 Combine like terms: 10 + -2 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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