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Simplifying 2(x + -3) + -3(1 + -2x) = 7 Reorder the terms: 2(-3 + x) + -3(1 + -2x) = 7 (-3 * 2 + x * 2) + -3(1 + -2x) = 7 (-6 + 2x) + -3(1 + -2x) = 7 -6 + 2x + (1 * -3 + -2x * -3) = 7 -6 + 2x + (-3 + 6x) = 7 Reorder the terms: -6 + -3 + 2x + 6x = 7 Combine like terms: -6 + -3 = -9 -9 + 2x + 6x = 7 Combine like terms: 2x + 6x = 8x -9 + 8x = 7 Solving -9 + 8x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 8x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 7 + 9 8x = 7 + 9 Combine like terms: 7 + 9 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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