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Simplifying 10x + 5(x + -4) = 7x + 4(x + -9) Reorder the terms: 10x + 5(-4 + x) = 7x + 4(x + -9) 10x + (-4 * 5 + x * 5) = 7x + 4(x + -9) 10x + (-20 + 5x) = 7x + 4(x + -9) Reorder the terms: -20 + 10x + 5x = 7x + 4(x + -9) Combine like terms: 10x + 5x = 15x -20 + 15x = 7x + 4(x + -9) Reorder the terms: -20 + 15x = 7x + 4(-9 + x) -20 + 15x = 7x + (-9 * 4 + x * 4) -20 + 15x = 7x + (-36 + 4x) Reorder the terms: -20 + 15x = -36 + 7x + 4x Combine like terms: 7x + 4x = 11x -20 + 15x = -36 + 11x Solving -20 + 15x = -36 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -20 + 15x + -11x = -36 + 11x + -11x Combine like terms: 15x + -11x = 4x -20 + 4x = -36 + 11x + -11x Combine like terms: 11x + -11x = 0 -20 + 4x = -36 + 0 -20 + 4x = -36 Add '20' to each side of the equation. -20 + 20 + 4x = -36 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -36 + 20 4x = -36 + 20 Combine like terms: -36 + 20 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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