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Simplifying -3x + -6(x + 8) = -4(2x + 4) Reorder the terms: -3x + -6(8 + x) = -4(2x + 4) -3x + (8 * -6 + x * -6) = -4(2x + 4) -3x + (-48 + -6x) = -4(2x + 4) Reorder the terms: -48 + -3x + -6x = -4(2x + 4) Combine like terms: -3x + -6x = -9x -48 + -9x = -4(2x + 4) Reorder the terms: -48 + -9x = -4(4 + 2x) -48 + -9x = (4 * -4 + 2x * -4) -48 + -9x = (-16 + -8x) Solving -48 + -9x = -16 + -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. -48 + -9x + 8x = -16 + -8x + 8x Combine like terms: -9x + 8x = -1x -48 + -1x = -16 + -8x + 8x Combine like terms: -8x + 8x = 0 -48 + -1x = -16 + 0 -48 + -1x = -16 Add '48' to each side of the equation. -48 + 48 + -1x = -16 + 48 Combine like terms: -48 + 48 = 0 0 + -1x = -16 + 48 -1x = -16 + 48 Combine like terms: -16 + 48 = 32 -1x = 32 Divide each side by '-1'. x = -32 Simplifying x = -32
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