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Simplifying 7(2x + -1) = 3(15 + -4x) Reorder the terms: 7(-1 + 2x) = 3(15 + -4x) (-1 * 7 + 2x * 7) = 3(15 + -4x) (-7 + 14x) = 3(15 + -4x) -7 + 14x = (15 * 3 + -4x * 3) -7 + 14x = (45 + -12x) Solving -7 + 14x = 45 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -7 + 14x + 12x = 45 + -12x + 12x Combine like terms: 14x + 12x = 26x -7 + 26x = 45 + -12x + 12x Combine like terms: -12x + 12x = 0 -7 + 26x = 45 + 0 -7 + 26x = 45 Add '7' to each side of the equation. -7 + 7 + 26x = 45 + 7 Combine like terms: -7 + 7 = 0 0 + 26x = 45 + 7 26x = 45 + 7 Combine like terms: 45 + 7 = 52 26x = 52 Divide each side by '26'. x = 2 Simplifying x = 2
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