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Simplifying 3(2x + -1) = 7x + -7 Reorder the terms: 3(-1 + 2x) = 7x + -7 (-1 * 3 + 2x * 3) = 7x + -7 (-3 + 6x) = 7x + -7 Reorder the terms: -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 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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