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Simplifying -2(3x + 5) = 7(4 + -1x) Reorder the terms: -2(5 + 3x) = 7(4 + -1x) (5 * -2 + 3x * -2) = 7(4 + -1x) (-10 + -6x) = 7(4 + -1x) -10 + -6x = (4 * 7 + -1x * 7) -10 + -6x = (28 + -7x) Solving -10 + -6x = 28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -10 + -6x + 7x = 28 + -7x + 7x Combine like terms: -6x + 7x = 1x -10 + 1x = 28 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 1x = 28 + 0 -10 + 1x = 28 Add '10' to each side of the equation. -10 + 10 + 1x = 28 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 28 + 10 1x = 28 + 10 Combine like terms: 28 + 10 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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