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Simplifying 3(x + -7) = -6(x + 8) Reorder the terms: 3(-7 + x) = -6(x + 8) (-7 * 3 + x * 3) = -6(x + 8) (-21 + 3x) = -6(x + 8) Reorder the terms: -21 + 3x = -6(8 + x) -21 + 3x = (8 * -6 + x * -6) -21 + 3x = (-48 + -6x) Solving -21 + 3x = -48 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -21 + 3x + 6x = -48 + -6x + 6x Combine like terms: 3x + 6x = 9x -21 + 9x = -48 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + 9x = -48 + 0 -21 + 9x = -48 Add '21' to each side of the equation. -21 + 21 + 9x = -48 + 21 Combine like terms: -21 + 21 = 0 0 + 9x = -48 + 21 9x = -48 + 21 Combine like terms: -48 + 21 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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