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Simplifying -74 = -7x + 4(2x + -17) Reorder the terms: -74 = -7x + 4(-17 + 2x) -74 = -7x + (-17 * 4 + 2x * 4) -74 = -7x + (-68 + 8x) Reorder the terms: -74 = -68 + -7x + 8x Combine like terms: -7x + 8x = 1x -74 = -68 + 1x Solving -74 = -68 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -74 + -1x = -68 + 1x + -1x Combine like terms: 1x + -1x = 0 -74 + -1x = -68 + 0 -74 + -1x = -68 Add '74' to each side of the equation. -74 + 74 + -1x = -68 + 74 Combine like terms: -74 + 74 = 0 0 + -1x = -68 + 74 -1x = -68 + 74 Combine like terms: -68 + 74 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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