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Simplifying 8x + -3(2x + 7) = -6 + -9x + 73 Reorder the terms: 8x + -3(7 + 2x) = -6 + -9x + 73 8x + (7 * -3 + 2x * -3) = -6 + -9x + 73 8x + (-21 + -6x) = -6 + -9x + 73 Reorder the terms: -21 + 8x + -6x = -6 + -9x + 73 Combine like terms: 8x + -6x = 2x -21 + 2x = -6 + -9x + 73 Reorder the terms: -21 + 2x = -6 + 73 + -9x Combine like terms: -6 + 73 = 67 -21 + 2x = 67 + -9x Solving -21 + 2x = 67 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -21 + 2x + 9x = 67 + -9x + 9x Combine like terms: 2x + 9x = 11x -21 + 11x = 67 + -9x + 9x Combine like terms: -9x + 9x = 0 -21 + 11x = 67 + 0 -21 + 11x = 67 Add '21' to each side of the equation. -21 + 21 + 11x = 67 + 21 Combine like terms: -21 + 21 = 0 0 + 11x = 67 + 21 11x = 67 + 21 Combine like terms: 67 + 21 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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