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Simplifying 8(3x + -2) = -8(x + 6) Reorder the terms: 8(-2 + 3x) = -8(x + 6) (-2 * 8 + 3x * 8) = -8(x + 6) (-16 + 24x) = -8(x + 6) Reorder the terms: -16 + 24x = -8(6 + x) -16 + 24x = (6 * -8 + x * -8) -16 + 24x = (-48 + -8x) Solving -16 + 24x = -48 + -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. -16 + 24x + 8x = -48 + -8x + 8x Combine like terms: 24x + 8x = 32x -16 + 32x = -48 + -8x + 8x Combine like terms: -8x + 8x = 0 -16 + 32x = -48 + 0 -16 + 32x = -48 Add '16' to each side of the equation. -16 + 16 + 32x = -48 + 16 Combine like terms: -16 + 16 = 0 0 + 32x = -48 + 16 32x = -48 + 16 Combine like terms: -48 + 16 = -32 32x = -32 Divide each side by '32'. x = -1 Simplifying x = -1
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