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Simplifying 2(7x + -1) = 6(25 + -4x) Reorder the terms: 2(-1 + 7x) = 6(25 + -4x) (-1 * 2 + 7x * 2) = 6(25 + -4x) (-2 + 14x) = 6(25 + -4x) -2 + 14x = (25 * 6 + -4x * 6) -2 + 14x = (150 + -24x) Solving -2 + 14x = 150 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -2 + 14x + 24x = 150 + -24x + 24x Combine like terms: 14x + 24x = 38x -2 + 38x = 150 + -24x + 24x Combine like terms: -24x + 24x = 0 -2 + 38x = 150 + 0 -2 + 38x = 150 Add '2' to each side of the equation. -2 + 2 + 38x = 150 + 2 Combine like terms: -2 + 2 = 0 0 + 38x = 150 + 2 38x = 150 + 2 Combine like terms: 150 + 2 = 152 38x = 152 Divide each side by '38'. x = 4 Simplifying x = 4
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