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