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Simplifying -194 = 4x + -6(-4x + -5) Reorder the terms: -194 = 4x + -6(-5 + -4x) -194 = 4x + (-5 * -6 + -4x * -6) -194 = 4x + (30 + 24x) Reorder the terms: -194 = 30 + 4x + 24x Combine like terms: 4x + 24x = 28x -194 = 30 + 28x Solving -194 = 30 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -194 + -28x = 30 + 28x + -28x Combine like terms: 28x + -28x = 0 -194 + -28x = 30 + 0 -194 + -28x = 30 Add '194' to each side of the equation. -194 + 194 + -28x = 30 + 194 Combine like terms: -194 + 194 = 0 0 + -28x = 30 + 194 -28x = 30 + 194 Combine like terms: 30 + 194 = 224 -28x = 224 Divide each side by '-28'. x = -8 Simplifying x = -8
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