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Simplifying 2(4x + -5) = 7 + -1(3 + -1x) Reorder the terms: 2(-5 + 4x) = 7 + -1(3 + -1x) (-5 * 2 + 4x * 2) = 7 + -1(3 + -1x) (-10 + 8x) = 7 + -1(3 + -1x) -10 + 8x = 7 + (3 * -1 + -1x * -1) -10 + 8x = 7 + (-3 + 1x) Combine like terms: 7 + -3 = 4 -10 + 8x = 4 + 1x Solving -10 + 8x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 8x + -1x = 4 + 1x + -1x Combine like terms: 8x + -1x = 7x -10 + 7x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 -10 + 7x = 4 + 0 -10 + 7x = 4 Add '10' to each side of the equation. -10 + 10 + 7x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 4 + 10 7x = 4 + 10 Combine like terms: 4 + 10 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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