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Simplifying -2(-4x + 7) = 3(2x + 5) Reorder the terms: -2(7 + -4x) = 3(2x + 5) (7 * -2 + -4x * -2) = 3(2x + 5) (-14 + 8x) = 3(2x + 5) Reorder the terms: -14 + 8x = 3(5 + 2x) -14 + 8x = (5 * 3 + 2x * 3) -14 + 8x = (15 + 6x) Solving -14 + 8x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + 8x + -6x = 15 + 6x + -6x Combine like terms: 8x + -6x = 2x -14 + 2x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 2x = 15 + 0 -14 + 2x = 15 Add '14' to each side of the equation. -14 + 14 + 2x = 15 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 15 + 14 2x = 15 + 14 Combine like terms: 15 + 14 = 29 2x = 29 Divide each side by '2'. x = 14.5 Simplifying x = 14.5
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