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Simplifying 2(2x + -6) * 2(x + 3) = 26 Reorder the terms: 2(-6 + 2x) * 2(x + 3) = 26 Reorder the terms: 2(-6 + 2x) * 2(3 + x) = 26 Reorder the terms for easier multiplication: 2 * 2(-6 + 2x)(3 + x) = 26 Multiply 2 * 2 4(-6 + 2x)(3 + x) = 26 Multiply (-6 + 2x) * (3 + x) 4(-6(3 + x) + 2x * (3 + x)) = 26 4((3 * -6 + x * -6) + 2x * (3 + x)) = 26 4((-18 + -6x) + 2x * (3 + x)) = 26 4(-18 + -6x + (3 * 2x + x * 2x)) = 26 4(-18 + -6x + (6x + 2x2)) = 26 Combine like terms: -6x + 6x = 0 4(-18 + 0 + 2x2) = 26 4(-18 + 2x2) = 26 (-18 * 4 + 2x2 * 4) = 26 (-72 + 8x2) = 26 Solving -72 + 8x2 = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 8x2 = 26 + 72 Combine like terms: -72 + 72 = 0 0 + 8x2 = 26 + 72 8x2 = 26 + 72 Combine like terms: 26 + 72 = 98 8x2 = 98 Divide each side by '8'. x2 = 12.25 Simplifying x2 = 12.25 Take the square root of each side: x = {-3.5, 3.5}
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