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Simplifying 7x + -1(3x + 5) + -8 = 2(4x + 10) + -7x + 5 Reorder the terms: 7x + -1(5 + 3x) + -8 = 2(4x + 10) + -7x + 5 7x + (5 * -1 + 3x * -1) + -8 = 2(4x + 10) + -7x + 5 7x + (-5 + -3x) + -8 = 2(4x + 10) + -7x + 5 Reorder the terms: -5 + -8 + 7x + -3x = 2(4x + 10) + -7x + 5 Combine like terms: -5 + -8 = -13 -13 + 7x + -3x = 2(4x + 10) + -7x + 5 Combine like terms: 7x + -3x = 4x -13 + 4x = 2(4x + 10) + -7x + 5 Reorder the terms: -13 + 4x = 2(10 + 4x) + -7x + 5 -13 + 4x = (10 * 2 + 4x * 2) + -7x + 5 -13 + 4x = (20 + 8x) + -7x + 5 Reorder the terms: -13 + 4x = 20 + 5 + 8x + -7x Combine like terms: 20 + 5 = 25 -13 + 4x = 25 + 8x + -7x Combine like terms: 8x + -7x = 1x -13 + 4x = 25 + 1x Solving -13 + 4x = 25 + 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. -13 + 4x + -1x = 25 + 1x + -1x Combine like terms: 4x + -1x = 3x -13 + 3x = 25 + 1x + -1x Combine like terms: 1x + -1x = 0 -13 + 3x = 25 + 0 -13 + 3x = 25 Add '13' to each side of the equation. -13 + 13 + 3x = 25 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 25 + 13 3x = 25 + 13 Combine like terms: 25 + 13 = 38 3x = 38 Divide each side by '3'. x = 12.66666667 Simplifying x = 12.66666667
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