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Simplifying 5x + -8 + -1(7x + -8) + -6x + 5(9x + -8) = 3x + -3 Reorder the terms: 5x + -8 + -1(-8 + 7x) + -6x + 5(9x + -8) = 3x + -3 5x + -8 + (-8 * -1 + 7x * -1) + -6x + 5(9x + -8) = 3x + -3 5x + -8 + (8 + -7x) + -6x + 5(9x + -8) = 3x + -3 Reorder the terms: 5x + -8 + 8 + -7x + -6x + 5(-8 + 9x) = 3x + -3 5x + -8 + 8 + -7x + -6x + (-8 * 5 + 9x * 5) = 3x + -3 5x + -8 + 8 + -7x + -6x + (-40 + 45x) = 3x + -3 Reorder the terms: -8 + 8 + -40 + 5x + -7x + -6x + 45x = 3x + -3 Combine like terms: -8 + 8 = 0 0 + -40 + 5x + -7x + -6x + 45x = 3x + -3 -40 + 5x + -7x + -6x + 45x = 3x + -3 Combine like terms: 5x + -7x = -2x -40 + -2x + -6x + 45x = 3x + -3 Combine like terms: -2x + -6x = -8x -40 + -8x + 45x = 3x + -3 Combine like terms: -8x + 45x = 37x -40 + 37x = 3x + -3 Reorder the terms: -40 + 37x = -3 + 3x Solving -40 + 37x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -40 + 37x + -3x = -3 + 3x + -3x Combine like terms: 37x + -3x = 34x -40 + 34x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -40 + 34x = -3 + 0 -40 + 34x = -3 Add '40' to each side of the equation. -40 + 40 + 34x = -3 + 40 Combine like terms: -40 + 40 = 0 0 + 34x = -3 + 40 34x = -3 + 40 Combine like terms: -3 + 40 = 37 34x = 37 Divide each side by '34'. x = 1.088235294 Simplifying x = 1.088235294
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