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Simplifying 7(2x + -1) = 32 + x Reorder the terms: 7(-1 + 2x) = 32 + x (-1 * 7 + 2x * 7) = 32 + x (-7 + 14x) = 32 + x Solving -7 + 14x = 32 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 14x + -1x = 32 + x + -1x Combine like terms: 14x + -1x = 13x -7 + 13x = 32 + x + -1x Combine like terms: x + -1x = 0 -7 + 13x = 32 + 0 -7 + 13x = 32 Add '7' to each side of the equation. -7 + 7 + 13x = 32 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 32 + 7 13x = 32 + 7 Combine like terms: 32 + 7 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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