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Simplifying -114 = 4x + -6(-2x + -5) Reorder the terms: -114 = 4x + -6(-5 + -2x) -114 = 4x + (-5 * -6 + -2x * -6) -114 = 4x + (30 + 12x) Reorder the terms: -114 = 30 + 4x + 12x Combine like terms: 4x + 12x = 16x -114 = 30 + 16x Solving -114 = 30 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -114 + -16x = 30 + 16x + -16x Combine like terms: 16x + -16x = 0 -114 + -16x = 30 + 0 -114 + -16x = 30 Add '114' to each side of the equation. -114 + 114 + -16x = 30 + 114 Combine like terms: -114 + 114 = 0 0 + -16x = 30 + 114 -16x = 30 + 114 Combine like terms: 30 + 114 = 144 -16x = 144 Divide each side by '-16'. x = -9 Simplifying x = -9
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