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Simplifying 2(x + 1) + -3(2x + 4) = 6 Reorder the terms: 2(1 + x) + -3(2x + 4) = 6 (1 * 2 + x * 2) + -3(2x + 4) = 6 (2 + 2x) + -3(2x + 4) = 6 Reorder the terms: 2 + 2x + -3(4 + 2x) = 6 2 + 2x + (4 * -3 + 2x * -3) = 6 2 + 2x + (-12 + -6x) = 6 Reorder the terms: 2 + -12 + 2x + -6x = 6 Combine like terms: 2 + -12 = -10 -10 + 2x + -6x = 6 Combine like terms: 2x + -6x = -4x -10 + -4x = 6 Solving -10 + -4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -4x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = 6 + 10 -4x = 6 + 10 Combine like terms: 6 + 10 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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