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Simplifying X + -10(6x + 6) = 7x + -4(10x + -11) Reorder the terms: X + -10(6 + 6x) = 7x + -4(10x + -11) X + (6 * -10 + 6x * -10) = 7x + -4(10x + -11) X + (-60 + -60x) = 7x + -4(10x + -11) Reorder the terms: -60 + X + -60x = 7x + -4(10x + -11) Reorder the terms: -60 + X + -60x = 7x + -4(-11 + 10x) -60 + X + -60x = 7x + (-11 * -4 + 10x * -4) -60 + X + -60x = 7x + (44 + -40x) Reorder the terms: -60 + X + -60x = 44 + 7x + -40x Combine like terms: 7x + -40x = -33x -60 + X + -60x = 44 + -33x Solving -60 + X + -60x = 44 + -33x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '60' to each side of the equation. -60 + X + 60 + -60x = 44 + 60 + -33x Reorder the terms: -60 + 60 + X + -60x = 44 + 60 + -33x Combine like terms: -60 + 60 = 0 0 + X + -60x = 44 + 60 + -33x X + -60x = 44 + 60 + -33x Combine like terms: 44 + 60 = 104 X + -60x = 104 + -33x Add '60x' to each side of the equation. X + -60x + 60x = 104 + -33x + 60x Combine like terms: -60x + 60x = 0 X + 0 = 104 + -33x + 60x X = 104 + -33x + 60x Combine like terms: -33x + 60x = 27x X = 104 + 27x Simplifying X = 104 + 27x
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