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Simplifying 1 + (x + -8) = 2 + -5(x + -3) Reorder the terms: 1 + (-8 + x) = 2 + -5(x + -3) Remove parenthesis around (-8 + x) 1 + -8 + x = 2 + -5(x + -3) Combine like terms: 1 + -8 = -7 -7 + x = 2 + -5(x + -3) Reorder the terms: -7 + x = 2 + -5(-3 + x) -7 + x = 2 + (-3 * -5 + x * -5) -7 + x = 2 + (15 + -5x) Combine like terms: 2 + 15 = 17 -7 + x = 17 + -5x Solving -7 + x = 17 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -7 + x + 5x = 17 + -5x + 5x Combine like terms: x + 5x = 6x -7 + 6x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 6x = 17 + 0 -7 + 6x = 17 Add '7' to each side of the equation. -7 + 7 + 6x = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 17 + 7 6x = 17 + 7 Combine like terms: 17 + 7 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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