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Simplifying 6(4x + -8) = 6(-9x + -2) Reorder the terms: 6(-8 + 4x) = 6(-9x + -2) (-8 * 6 + 4x * 6) = 6(-9x + -2) (-48 + 24x) = 6(-9x + -2) Reorder the terms: -48 + 24x = 6(-2 + -9x) -48 + 24x = (-2 * 6 + -9x * 6) -48 + 24x = (-12 + -54x) Solving -48 + 24x = -12 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. -48 + 24x + 54x = -12 + -54x + 54x Combine like terms: 24x + 54x = 78x -48 + 78x = -12 + -54x + 54x Combine like terms: -54x + 54x = 0 -48 + 78x = -12 + 0 -48 + 78x = -12 Add '48' to each side of the equation. -48 + 48 + 78x = -12 + 48 Combine like terms: -48 + 48 = 0 0 + 78x = -12 + 48 78x = -12 + 48 Combine like terms: -12 + 48 = 36 78x = 36 Divide each side by '78'. x = 0.4615384615 Simplifying x = 0.4615384615
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