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Simplifying 12(2x + -5) = 4(8x + -3) Reorder the terms: 12(-5 + 2x) = 4(8x + -3) (-5 * 12 + 2x * 12) = 4(8x + -3) (-60 + 24x) = 4(8x + -3) Reorder the terms: -60 + 24x = 4(-3 + 8x) -60 + 24x = (-3 * 4 + 8x * 4) -60 + 24x = (-12 + 32x) Solving -60 + 24x = -12 + 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. -60 + 24x + -32x = -12 + 32x + -32x Combine like terms: 24x + -32x = -8x -60 + -8x = -12 + 32x + -32x Combine like terms: 32x + -32x = 0 -60 + -8x = -12 + 0 -60 + -8x = -12 Add '60' to each side of the equation. -60 + 60 + -8x = -12 + 60 Combine like terms: -60 + 60 = 0 0 + -8x = -12 + 60 -8x = -12 + 60 Combine like terms: -12 + 60 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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