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Simplifying 6 + 3(x + -2) = 8 + -5(x + -1) Reorder the terms: 6 + 3(-2 + x) = 8 + -5(x + -1) 6 + (-2 * 3 + x * 3) = 8 + -5(x + -1) 6 + (-6 + 3x) = 8 + -5(x + -1) Combine like terms: 6 + -6 = 0 0 + 3x = 8 + -5(x + -1) 3x = 8 + -5(x + -1) Reorder the terms: 3x = 8 + -5(-1 + x) 3x = 8 + (-1 * -5 + x * -5) 3x = 8 + (5 + -5x) Combine like terms: 8 + 5 = 13 3x = 13 + -5x Solving 3x = 13 + -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. 3x + 5x = 13 + -5x + 5x Combine like terms: 3x + 5x = 8x 8x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 8x = 13 + 0 8x = 13 Divide each side by '8'. x = 1.625 Simplifying x = 1.625
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