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Simplifying 20x + 4 = 4(5x + 1) + -1x + 7 Reorder the terms: 4 + 20x = 4(5x + 1) + -1x + 7 Reorder the terms: 4 + 20x = 4(1 + 5x) + -1x + 7 4 + 20x = (1 * 4 + 5x * 4) + -1x + 7 4 + 20x = (4 + 20x) + -1x + 7 Reorder the terms: 4 + 20x = 4 + 7 + 20x + -1x Combine like terms: 4 + 7 = 11 4 + 20x = 11 + 20x + -1x Combine like terms: 20x + -1x = 19x 4 + 20x = 11 + 19x Solving 4 + 20x = 11 + 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. 4 + 20x + -19x = 11 + 19x + -19x Combine like terms: 20x + -19x = 1x 4 + 1x = 11 + 19x + -19x Combine like terms: 19x + -19x = 0 4 + 1x = 11 + 0 4 + 1x = 11 Add '-4' to each side of the equation. 4 + -4 + 1x = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 11 + -4 1x = 11 + -4 Combine like terms: 11 + -4 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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