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Simplifying 6 + 2(x + -1) = 8 + -3(x + -3) Reorder the terms: 6 + 2(-1 + x) = 8 + -3(x + -3) 6 + (-1 * 2 + x * 2) = 8 + -3(x + -3) 6 + (-2 + 2x) = 8 + -3(x + -3) Combine like terms: 6 + -2 = 4 4 + 2x = 8 + -3(x + -3) Reorder the terms: 4 + 2x = 8 + -3(-3 + x) 4 + 2x = 8 + (-3 * -3 + x * -3) 4 + 2x = 8 + (9 + -3x) Combine like terms: 8 + 9 = 17 4 + 2x = 17 + -3x Solving 4 + 2x = 17 + -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. 4 + 2x + 3x = 17 + -3x + 3x Combine like terms: 2x + 3x = 5x 4 + 5x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 5x = 17 + 0 4 + 5x = 17 Add '-4' to each side of the equation. 4 + -4 + 5x = 17 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 17 + -4 5x = 17 + -4 Combine like terms: 17 + -4 = 13 5x = 13 Divide each side by '5'. x = 2.6 Simplifying x = 2.6
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