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Simplifying 9 + -1(3x + 10) = 19 + -7x Reorder the terms: 9 + -1(10 + 3x) = 19 + -7x 9 + (10 * -1 + 3x * -1) = 19 + -7x 9 + (-10 + -3x) = 19 + -7x Combine like terms: 9 + -10 = -1 -1 + -3x = 19 + -7x Solving -1 + -3x = 19 + -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. -1 + -3x + 7x = 19 + -7x + 7x Combine like terms: -3x + 7x = 4x -1 + 4x = 19 + -7x + 7x Combine like terms: -7x + 7x = 0 -1 + 4x = 19 + 0 -1 + 4x = 19 Add '1' to each side of the equation. -1 + 1 + 4x = 19 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 19 + 1 4x = 19 + 1 Combine like terms: 19 + 1 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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