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Simplifying 3(2x + -1) = 7(x + 1) Reorder the terms: 3(-1 + 2x) = 7(x + 1) (-1 * 3 + 2x * 3) = 7(x + 1) (-3 + 6x) = 7(x + 1) Reorder the terms: -3 + 6x = 7(1 + x) -3 + 6x = (1 * 7 + x * 7) -3 + 6x = (7 + 7x) Solving -3 + 6x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + 6x + -7x = 7 + 7x + -7x Combine like terms: 6x + -7x = -1x -3 + -1x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -1x = 7 + 0 -3 + -1x = 7 Add '3' to each side of the equation. -3 + 3 + -1x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 7 + 3 -1x = 7 + 3 Combine like terms: 7 + 3 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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