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Simplifying 3 + 5(x + -9) = 8 + -5(x + -4) Reorder the terms: 3 + 5(-9 + x) = 8 + -5(x + -4) 3 + (-9 * 5 + x * 5) = 8 + -5(x + -4) 3 + (-45 + 5x) = 8 + -5(x + -4) Combine like terms: 3 + -45 = -42 -42 + 5x = 8 + -5(x + -4) Reorder the terms: -42 + 5x = 8 + -5(-4 + x) -42 + 5x = 8 + (-4 * -5 + x * -5) -42 + 5x = 8 + (20 + -5x) Combine like terms: 8 + 20 = 28 -42 + 5x = 28 + -5x Solving -42 + 5x = 28 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -42 + 5x + 5x = 28 + -5x + 5x Combine like terms: 5x + 5x = 10x -42 + 10x = 28 + -5x + 5x Combine like terms: -5x + 5x = 0 -42 + 10x = 28 + 0 -42 + 10x = 28 Add '42' to each side of the equation. -42 + 42 + 10x = 28 + 42 Combine like terms: -42 + 42 = 0 0 + 10x = 28 + 42 10x = 28 + 42 Combine like terms: 28 + 42 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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