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Simplifying 1 + -1(4x + 9) = 10 + -7x Reorder the terms: 1 + -1(9 + 4x) = 10 + -7x 1 + (9 * -1 + 4x * -1) = 10 + -7x 1 + (-9 + -4x) = 10 + -7x Combine like terms: 1 + -9 = -8 -8 + -4x = 10 + -7x Solving -8 + -4x = 10 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -8 + -4x + 7x = 10 + -7x + 7x Combine like terms: -4x + 7x = 3x -8 + 3x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + 3x = 10 + 0 -8 + 3x = 10 Add '8' to each side of the equation. -8 + 8 + 3x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 10 + 8 3x = 10 + 8 Combine like terms: 10 + 8 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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