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Simplifying (-3)(7 + -6x) = 9x + -8(3x + -7) (7 * -3 + -6x * -3) = 9x + -8(3x + -7) (-21 + 18x) = 9x + -8(3x + -7) Reorder the terms: -21 + 18x = 9x + -8(-7 + 3x) -21 + 18x = 9x + (-7 * -8 + 3x * -8) -21 + 18x = 9x + (56 + -24x) Reorder the terms: -21 + 18x = 56 + 9x + -24x Combine like terms: 9x + -24x = -15x -21 + 18x = 56 + -15x Solving -21 + 18x = 56 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -21 + 18x + 15x = 56 + -15x + 15x Combine like terms: 18x + 15x = 33x -21 + 33x = 56 + -15x + 15x Combine like terms: -15x + 15x = 0 -21 + 33x = 56 + 0 -21 + 33x = 56 Add '21' to each side of the equation. -21 + 21 + 33x = 56 + 21 Combine like terms: -21 + 21 = 0 0 + 33x = 56 + 21 33x = 56 + 21 Combine like terms: 56 + 21 = 77 33x = 77 Divide each side by '33'. x = 2.333333333 Simplifying x = 2.333333333
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