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Simplifying -3x + -6(x + 1) = -2(4x + 7) Reorder the terms: -3x + -6(1 + x) = -2(4x + 7) -3x + (1 * -6 + x * -6) = -2(4x + 7) -3x + (-6 + -6x) = -2(4x + 7) Reorder the terms: -6 + -3x + -6x = -2(4x + 7) Combine like terms: -3x + -6x = -9x -6 + -9x = -2(4x + 7) Reorder the terms: -6 + -9x = -2(7 + 4x) -6 + -9x = (7 * -2 + 4x * -2) -6 + -9x = (-14 + -8x) Solving -6 + -9x = -14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + -9x + 8x = -14 + -8x + 8x Combine like terms: -9x + 8x = -1x -6 + -1x = -14 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + -1x = -14 + 0 -6 + -1x = -14 Add '6' to each side of the equation. -6 + 6 + -1x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -14 + 6 -1x = -14 + 6 Combine like terms: -14 + 6 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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