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Simplifying 2x + (-8) + -3x = x + -1(5x + -5) 2x + -8 + -3x = x + -1(5x + -5) Reorder the terms: -8 + 2x + -3x = x + -1(5x + -5) Combine like terms: 2x + -3x = -1x -8 + -1x = x + -1(5x + -5) Reorder the terms: -8 + -1x = x + -1(-5 + 5x) -8 + -1x = x + (-5 * -1 + 5x * -1) -8 + -1x = x + (5 + -5x) Reorder the terms: -8 + -1x = 5 + x + -5x Combine like terms: x + -5x = -4x -8 + -1x = 5 + -4x Solving -8 + -1x = 5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + -1x + 4x = 5 + -4x + 4x Combine like terms: -1x + 4x = 3x -8 + 3x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 3x = 5 + 0 -8 + 3x = 5 Add '8' to each side of the equation. -8 + 8 + 3x = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 5 + 8 3x = 5 + 8 Combine like terms: 5 + 8 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333
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