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Simplifying -194 = -4x + -7(6 + -6x) -194 = -4x + (6 * -7 + -6x * -7) -194 = -4x + (-42 + 42x) Reorder the terms: -194 = -42 + -4x + 42x Combine like terms: -4x + 42x = 38x -194 = -42 + 38x Solving -194 = -42 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. -194 + -38x = -42 + 38x + -38x Combine like terms: 38x + -38x = 0 -194 + -38x = -42 + 0 -194 + -38x = -42 Add '194' to each side of the equation. -194 + 194 + -38x = -42 + 194 Combine like terms: -194 + 194 = 0 0 + -38x = -42 + 194 -38x = -42 + 194 Combine like terms: -42 + 194 = 152 -38x = 152 Divide each side by '-38'. x = -4 Simplifying x = -4
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