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Simplifying 5x + 5 + -8(x + 1) = 3x + 2 Reorder the terms: 5x + 5 + -8(1 + x) = 3x + 2 5x + 5 + (1 * -8 + x * -8) = 3x + 2 5x + 5 + (-8 + -8x) = 3x + 2 Reorder the terms: 5 + -8 + 5x + -8x = 3x + 2 Combine like terms: 5 + -8 = -3 -3 + 5x + -8x = 3x + 2 Combine like terms: 5x + -8x = -3x -3 + -3x = 3x + 2 Reorder the terms: -3 + -3x = 2 + 3x Solving -3 + -3x = 2 + 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. -3 + -3x + -3x = 2 + 3x + -3x Combine like terms: -3x + -3x = -6x -3 + -6x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -6x = 2 + 0 -3 + -6x = 2 Add '3' to each side of the equation. -3 + 3 + -6x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = 2 + 3 -6x = 2 + 3 Combine like terms: 2 + 3 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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