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Simplifying -74 = 2x + -4(4x + -6) Reorder the terms: -74 = 2x + -4(-6 + 4x) -74 = 2x + (-6 * -4 + 4x * -4) -74 = 2x + (24 + -16x) Reorder the terms: -74 = 24 + 2x + -16x Combine like terms: 2x + -16x = -14x -74 = 24 + -14x Solving -74 = 24 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -74 + 14x = 24 + -14x + 14x Combine like terms: -14x + 14x = 0 -74 + 14x = 24 + 0 -74 + 14x = 24 Add '74' to each side of the equation. -74 + 74 + 14x = 24 + 74 Combine like terms: -74 + 74 = 0 0 + 14x = 24 + 74 14x = 24 + 74 Combine like terms: 24 + 74 = 98 14x = 98 Divide each side by '14'. x = 7 Simplifying x = 7
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