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Simplifying 3(x + -2) + -3(1 + -1x) + 8 = 8 Reorder the terms: 3(-2 + x) + -3(1 + -1x) + 8 = 8 (-2 * 3 + x * 3) + -3(1 + -1x) + 8 = 8 (-6 + 3x) + -3(1 + -1x) + 8 = 8 -6 + 3x + (1 * -3 + -1x * -3) + 8 = 8 -6 + 3x + (-3 + 3x) + 8 = 8 Reorder the terms: -6 + -3 + 8 + 3x + 3x = 8 Combine like terms: -6 + -3 = -9 -9 + 8 + 3x + 3x = 8 Combine like terms: -9 + 8 = -1 -1 + 3x + 3x = 8 Combine like terms: 3x + 3x = 6x -1 + 6x = 8 Solving -1 + 6x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 8 + 1 6x = 8 + 1 Combine like terms: 8 + 1 = 9 6x = 9 Divide each side by '6'. x = 1.5 Simplifying x = 1.5
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