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Simplifying -2(2x + 3) + 3(2x + -4) = 4 Reorder the terms: -2(3 + 2x) + 3(2x + -4) = 4 (3 * -2 + 2x * -2) + 3(2x + -4) = 4 (-6 + -4x) + 3(2x + -4) = 4 Reorder the terms: -6 + -4x + 3(-4 + 2x) = 4 -6 + -4x + (-4 * 3 + 2x * 3) = 4 -6 + -4x + (-12 + 6x) = 4 Reorder the terms: -6 + -12 + -4x + 6x = 4 Combine like terms: -6 + -12 = -18 -18 + -4x + 6x = 4 Combine like terms: -4x + 6x = 2x -18 + 2x = 4 Solving -18 + 2x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 2x = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 4 + 18 2x = 4 + 18 Combine like terms: 4 + 18 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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