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Simplifying 7x + -1(3x + 5) + -8 = 16x + 40 + -7x + 5 Reorder the terms: 7x + -1(5 + 3x) + -8 = 16x + 40 + -7x + 5 7x + (5 * -1 + 3x * -1) + -8 = 16x + 40 + -7x + 5 7x + (-5 + -3x) + -8 = 16x + 40 + -7x + 5 Reorder the terms: -5 + -8 + 7x + -3x = 16x + 40 + -7x + 5 Combine like terms: -5 + -8 = -13 -13 + 7x + -3x = 16x + 40 + -7x + 5 Combine like terms: 7x + -3x = 4x -13 + 4x = 16x + 40 + -7x + 5 Reorder the terms: -13 + 4x = 40 + 5 + 16x + -7x Combine like terms: 40 + 5 = 45 -13 + 4x = 45 + 16x + -7x Combine like terms: 16x + -7x = 9x -13 + 4x = 45 + 9x Solving -13 + 4x = 45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -13 + 4x + -9x = 45 + 9x + -9x Combine like terms: 4x + -9x = -5x -13 + -5x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + -5x = 45 + 0 -13 + -5x = 45 Add '13' to each side of the equation. -13 + 13 + -5x = 45 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 45 + 13 -5x = 45 + 13 Combine like terms: 45 + 13 = 58 -5x = 58 Divide each side by '-5'. x = -11.6 Simplifying x = -11.6
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