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Simplifying 2x + -74 = -4(-2x + 2) Reorder the terms: -74 + 2x = -4(-2x + 2) Reorder the terms: -74 + 2x = -4(2 + -2x) -74 + 2x = (2 * -4 + -2x * -4) -74 + 2x = (-8 + 8x) Solving -74 + 2x = -8 + 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. -74 + 2x + -8x = -8 + 8x + -8x Combine like terms: 2x + -8x = -6x -74 + -6x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -74 + -6x = -8 + 0 -74 + -6x = -8 Add '74' to each side of the equation. -74 + 74 + -6x = -8 + 74 Combine like terms: -74 + 74 = 0 0 + -6x = -8 + 74 -6x = -8 + 74 Combine like terms: -8 + 74 = 66 -6x = 66 Divide each side by '-6'. x = -11 Simplifying x = -11
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