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Simplifying 7(x + 20) = 2(3x + 1) Reorder the terms: 7(20 + x) = 2(3x + 1) (20 * 7 + x * 7) = 2(3x + 1) (140 + 7x) = 2(3x + 1) Reorder the terms: 140 + 7x = 2(1 + 3x) 140 + 7x = (1 * 2 + 3x * 2) 140 + 7x = (2 + 6x) Solving 140 + 7x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 140 + 7x + -6x = 2 + 6x + -6x Combine like terms: 7x + -6x = 1x 140 + 1x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 140 + 1x = 2 + 0 140 + 1x = 2 Add '-140' to each side of the equation. 140 + -140 + 1x = 2 + -140 Combine like terms: 140 + -140 = 0 0 + 1x = 2 + -140 1x = 2 + -140 Combine like terms: 2 + -140 = -138 1x = -138 Divide each side by '1'. x = -138 Simplifying x = -138
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