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Simplifying -2(4x + -7) = 3(-5x + 7) Reorder the terms: -2(-7 + 4x) = 3(-5x + 7) (-7 * -2 + 4x * -2) = 3(-5x + 7) (14 + -8x) = 3(-5x + 7) Reorder the terms: 14 + -8x = 3(7 + -5x) 14 + -8x = (7 * 3 + -5x * 3) 14 + -8x = (21 + -15x) Solving 14 + -8x = 21 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 14 + -8x + 15x = 21 + -15x + 15x Combine like terms: -8x + 15x = 7x 14 + 7x = 21 + -15x + 15x Combine like terms: -15x + 15x = 0 14 + 7x = 21 + 0 14 + 7x = 21 Add '-14' to each side of the equation. 14 + -14 + 7x = 21 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 21 + -14 7x = 21 + -14 Combine like terms: 21 + -14 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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