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Simplifying 9(4x + -8) + -1(x + 3) = 5(x * 9) + 5 Reorder the terms: 9(-8 + 4x) + -1(x + 3) = 5(x * 9) + 5 (-8 * 9 + 4x * 9) + -1(x + 3) = 5(x * 9) + 5 (-72 + 36x) + -1(x + 3) = 5(x * 9) + 5 Reorder the terms: -72 + 36x + -1(3 + x) = 5(x * 9) + 5 -72 + 36x + (3 * -1 + x * -1) = 5(x * 9) + 5 -72 + 36x + (-3 + -1x) = 5(x * 9) + 5 Reorder the terms: -72 + -3 + 36x + -1x = 5(x * 9) + 5 Combine like terms: -72 + -3 = -75 -75 + 36x + -1x = 5(x * 9) + 5 Combine like terms: 36x + -1x = 35x -75 + 35x = 5(x * 9) + 5 Reorder the terms for easier multiplication: -75 + 35x = 5(9x) + 5 Remove parenthesis around (9x) -75 + 35x = 5 * 9x + 5 Multiply 5 * 9 -75 + 35x = 45x + 5 Reorder the terms: -75 + 35x = 5 + 45x Solving -75 + 35x = 5 + 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. -75 + 35x + -45x = 5 + 45x + -45x Combine like terms: 35x + -45x = -10x -75 + -10x = 5 + 45x + -45x Combine like terms: 45x + -45x = 0 -75 + -10x = 5 + 0 -75 + -10x = 5 Add '75' to each side of the equation. -75 + 75 + -10x = 5 + 75 Combine like terms: -75 + 75 = 0 0 + -10x = 5 + 75 -10x = 5 + 75 Combine like terms: 5 + 75 = 80 -10x = 80 Divide each side by '-10'. x = -8 Simplifying x = -8
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