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Simplifying 7(x + 1) = 3(2x + -1) Reorder the terms: 7(1 + x) = 3(2x + -1) (1 * 7 + x * 7) = 3(2x + -1) (7 + 7x) = 3(2x + -1) Reorder the terms: 7 + 7x = 3(-1 + 2x) 7 + 7x = (-1 * 3 + 2x * 3) 7 + 7x = (-3 + 6x) Solving 7 + 7x = -3 + 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. 7 + 7x + -6x = -3 + 6x + -6x Combine like terms: 7x + -6x = 1x 7 + 1x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 1x = -3 + 0 7 + 1x = -3 Add '-7' to each side of the equation. 7 + -7 + 1x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -3 + -7 1x = -3 + -7 Combine like terms: -3 + -7 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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