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Simplifying 12x + -4 + -4x = -8(6 + -4x) Reorder the terms: -4 + 12x + -4x = -8(6 + -4x) Combine like terms: 12x + -4x = 8x -4 + 8x = -8(6 + -4x) -4 + 8x = (6 * -8 + -4x * -8) -4 + 8x = (-48 + 32x) Solving -4 + 8x = -48 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -4 + 8x + -32x = -48 + 32x + -32x Combine like terms: 8x + -32x = -24x -4 + -24x = -48 + 32x + -32x Combine like terms: 32x + -32x = 0 -4 + -24x = -48 + 0 -4 + -24x = -48 Add '4' to each side of the equation. -4 + 4 + -24x = -48 + 4 Combine like terms: -4 + 4 = 0 0 + -24x = -48 + 4 -24x = -48 + 4 Combine like terms: -48 + 4 = -44 -24x = -44 Divide each side by '-24'. x = 1.833333333 Simplifying x = 1.833333333
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