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Simplifying 2(2x + -4) + 5(7 + 8) = 9 + 45x Reorder the terms: 2(-4 + 2x) + 5(7 + 8) = 9 + 45x (-4 * 2 + 2x * 2) + 5(7 + 8) = 9 + 45x (-8 + 4x) + 5(7 + 8) = 9 + 45x Combine like terms: 7 + 8 = 15 -8 + 4x + 5(15) = 9 + 45x Multiply 5 * 15 -8 + 4x + 75 = 9 + 45x Reorder the terms: -8 + 75 + 4x = 9 + 45x Combine like terms: -8 + 75 = 67 67 + 4x = 9 + 45x Solving 67 + 4x = 9 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 67 + 4x + -45x = 9 + 45x + -45x Combine like terms: 4x + -45x = -41x 67 + -41x = 9 + 45x + -45x Combine like terms: 45x + -45x = 0 67 + -41x = 9 + 0 67 + -41x = 9 Add '-67' to each side of the equation. 67 + -67 + -41x = 9 + -67 Combine like terms: 67 + -67 = 0 0 + -41x = 9 + -67 -41x = 9 + -67 Combine like terms: 9 + -67 = -58 -41x = -58 Divide each side by '-41'. x = 1.414634146 Simplifying x = 1.414634146
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