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Simplifying 9x + -1(3x + 7) = 3x + -40 Reorder the terms: 9x + -1(7 + 3x) = 3x + -40 9x + (7 * -1 + 3x * -1) = 3x + -40 9x + (-7 + -3x) = 3x + -40 Reorder the terms: -7 + 9x + -3x = 3x + -40 Combine like terms: 9x + -3x = 6x -7 + 6x = 3x + -40 Reorder the terms: -7 + 6x = -40 + 3x Solving -7 + 6x = -40 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 6x + -3x = -40 + 3x + -3x Combine like terms: 6x + -3x = 3x -7 + 3x = -40 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 3x = -40 + 0 -7 + 3x = -40 Add '7' to each side of the equation. -7 + 7 + 3x = -40 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = -40 + 7 3x = -40 + 7 Combine like terms: -40 + 7 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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