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Simplifying 9 + -2(x + 4) + -10(25 + -1x + 40) = 5 + -3x + 4(x + 1) Reorder the terms: 9 + -2(4 + x) + -10(25 + -1x + 40) = 5 + -3x + 4(x + 1) 9 + (4 * -2 + x * -2) + -10(25 + -1x + 40) = 5 + -3x + 4(x + 1) 9 + (-8 + -2x) + -10(25 + -1x + 40) = 5 + -3x + 4(x + 1) Reorder the terms: 9 + -8 + -2x + -10(25 + 40 + -1x) = 5 + -3x + 4(x + 1) Combine like terms: 25 + 40 = 65 9 + -8 + -2x + -10(65 + -1x) = 5 + -3x + 4(x + 1) 9 + -8 + -2x + (65 * -10 + -1x * -10) = 5 + -3x + 4(x + 1) 9 + -8 + -2x + (-650 + 10x) = 5 + -3x + 4(x + 1) Reorder the terms: 9 + -8 + -650 + -2x + 10x = 5 + -3x + 4(x + 1) Combine like terms: 9 + -8 = 1 1 + -650 + -2x + 10x = 5 + -3x + 4(x + 1) Combine like terms: 1 + -650 = -649 -649 + -2x + 10x = 5 + -3x + 4(x + 1) Combine like terms: -2x + 10x = 8x -649 + 8x = 5 + -3x + 4(x + 1) Reorder the terms: -649 + 8x = 5 + -3x + 4(1 + x) -649 + 8x = 5 + -3x + (1 * 4 + x * 4) -649 + 8x = 5 + -3x + (4 + 4x) Reorder the terms: -649 + 8x = 5 + 4 + -3x + 4x Combine like terms: 5 + 4 = 9 -649 + 8x = 9 + -3x + 4x Combine like terms: -3x + 4x = 1x -649 + 8x = 9 + 1x Solving -649 + 8x = 9 + 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. -649 + 8x + -1x = 9 + 1x + -1x Combine like terms: 8x + -1x = 7x -649 + 7x = 9 + 1x + -1x Combine like terms: 1x + -1x = 0 -649 + 7x = 9 + 0 -649 + 7x = 9 Add '649' to each side of the equation. -649 + 649 + 7x = 9 + 649 Combine like terms: -649 + 649 = 0 0 + 7x = 9 + 649 7x = 9 + 649 Combine like terms: 9 + 649 = 658 7x = 658 Divide each side by '7'. x = 94 Simplifying x = 94
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