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Simplifying 12 + 12(-9x + 10) = -2(-4x + -7) Reorder the terms: 12 + 12(10 + -9x) = -2(-4x + -7) 12 + (10 * 12 + -9x * 12) = -2(-4x + -7) 12 + (120 + -108x) = -2(-4x + -7) Combine like terms: 12 + 120 = 132 132 + -108x = -2(-4x + -7) Reorder the terms: 132 + -108x = -2(-7 + -4x) 132 + -108x = (-7 * -2 + -4x * -2) 132 + -108x = (14 + 8x) Solving 132 + -108x = 14 + 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. 132 + -108x + -8x = 14 + 8x + -8x Combine like terms: -108x + -8x = -116x 132 + -116x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 132 + -116x = 14 + 0 132 + -116x = 14 Add '-132' to each side of the equation. 132 + -132 + -116x = 14 + -132 Combine like terms: 132 + -132 = 0 0 + -116x = 14 + -132 -116x = 14 + -132 Combine like terms: 14 + -132 = -118 -116x = -118 Divide each side by '-116'. x = 1.017241379 Simplifying x = 1.017241379
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