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Simplifying 4 + 5(x + -2) = 9 + -2(x + -4) Reorder the terms: 4 + 5(-2 + x) = 9 + -2(x + -4) 4 + (-2 * 5 + x * 5) = 9 + -2(x + -4) 4 + (-10 + 5x) = 9 + -2(x + -4) Combine like terms: 4 + -10 = -6 -6 + 5x = 9 + -2(x + -4) Reorder the terms: -6 + 5x = 9 + -2(-4 + x) -6 + 5x = 9 + (-4 * -2 + x * -2) -6 + 5x = 9 + (8 + -2x) Combine like terms: 9 + 8 = 17 -6 + 5x = 17 + -2x Solving -6 + 5x = 17 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 5x + 2x = 17 + -2x + 2x Combine like terms: 5x + 2x = 7x -6 + 7x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 7x = 17 + 0 -6 + 7x = 17 Add '6' to each side of the equation. -6 + 6 + 7x = 17 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 17 + 6 7x = 17 + 6 Combine like terms: 17 + 6 = 23 7x = 23 Divide each side by '7'. x = 3.285714286 Simplifying x = 3.285714286
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